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5th grade
Course: 5th grade > Unit 3
Lesson 1: Subtracting decimals introEstimating decimal subtraction
Estimate to find reasonable solutions to addition subtraction problems.
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- Bottlenose dolphins are small, toothed whales that have a long, beaklike snout, a sickle-shaped dorsal fin, and sharp teeth. Dolphins breathe air through a single blowhole. They grow to be at most 12 feet (3.3 m) long. Dolphins live in small groups of up to 12 whales; these groups are called pods. Dolphins make high-pitched whistles, clicks, moans, squeaks, and other sounds. Bottlenose dolphins have a life span of about 25 years.Honeybees are social insects that live in hives. Like all insects, bees have six legs, a three-part body, a pair of antennae, compound eyes, jointed legs, and a hard exoskeleton. The three body parts are the head, thorax, and abdomen (the tail end).
Bees can fly about 15 mph (24 kph). They eat nectar (a sweet liquid made by flowers) which they turn into honey. In the process of going from flower to flower to collect nectar, pollen from many plants gets stuck on the bee's pollen baskets (hairs on the hind legs). Pollen is also rubbed off of flowers. This pollinates many flowers (fertilizing them and producing seeds).Bottlenose dolphins are small, toothed whales that have a long, beaklike snout, a sickle-shaped dorsal fin, and sharp teeth. Dolphins breathe air through a single blowhole. They grow to be at most 12 feet (3.3 m) long. Dolphins live in small groups of up to 12 whales; these groups are called pods. Dolphins make high-pitched whistles, clicks, moans, squeaks, and other sounds. Bottlenose dolphins have a life span of about 25 years.
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aqualine sapling style avatar for user Danny wang
Danny wang
2 hours ago
Posted 2 hours ago. Direct link to Danny wang's post “2381821388123821388123812...”
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Answer Danny wang's post “2381821388123821388123812...”
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leafers sapling style avatar for user Keeley Krasniak
Keeley Krasniak
5 days ago
Posted 5 days ago. Direct link to Keeley Krasniak's post “How many hours are in 549...”
How many hours are in 549 minutes? And we can write it as a decimal or a fraction. So essentially, we're going to take 549 minutes and divide them into groups of 60. Why 60? Because we know that one hour is equal to 60 minutes. So it's essentially saying, how many groups of 60 minutes can we divide 549 into. Or another way of thinking about that is, well, what is 549 divided into groups of 60. This is how many hours we're going to have. So let's do that. Let's take 549 and divide it by 60. So let's see, 6 goes into 54 9 times. So 60 is going to go into 540 9 times. We're going to have a little bit left over. So we have 9 times 60 is 540. We subtract. We have 9 left over. And now let's see, we have a little left over, so we're going to get a decimal. So let's put a decimal place right over here and let's throw some 0's over there. Let's bring down a 0. So we bring down a 0. 60 goes into 90 1 time. 1 times 60 is 60. And we subtract. We get 30. Let's bring down another 0. And so we get to 300. 60 goes into 300 5 times. 5 times 60, 6 times 6 is 30, so 5 times 60 is 300. Subtract and we are done. So you divide 549 into groups of 60. You can divide it into 9.15 groups of 60 minutes. A group of 60 minutes is an hour. So this 549 minutes is 9.15 hours. I want to make sure that we can visualize that properly. So let's actually construct what 9.15 hours looks like. So let me draw a little line here, and on the top I'll label Hours, and on the bottom I'll label Minutes. So this is 0 hours, 0 minutes. And now we have 1 hour, which is 60 minutes. Now we have 2 hours, which is 120 minutes. Then you have 3 hours, which is 180 minutes. Then you have 4 hours, which is 240 minutes. 5 hours is 300 minutes. 6 hours is 360 minutes. 7 hours, I might be running out of space, is for 420 minutes. Let me copy and paste this someplace where I have more real estate. So let me clear that. And then let me paste that someplace where I don't run into my other math that I did. All right. So then you have 8 hours is 480 minutes. And then you have 9 hours. Notice, I'm just adding 60 minutes every time. 9 hours is 540 minutes. Or another way you could think about it is, well, if each hour is 60, 9 times 60 is 540. And we don't want to go to just 540. We have another 9 left. So then we have to go another 9 minutes to go to 549. So you have 9 minutes left over. So another way of thinking about this, is that 549 is 9 hours. And then you have 9 minutes left over. And 9 minutes is what fraction of an hour? Well, 60 minutes is a whole hour. So 9 minutes is 9/60 of an hour. So you could write it this way. It's 9 and 9/60 hours. Or we could write this as an equivalent fraction. 9/60 is the same thing if we divide the numerator and the denominator by 3, is the same thing as 3/20. So we could write this as 9 and 3/20. And 3/20, well we could figure out what that is going to be. Let's see, 20 divided by 3. It's definitely going to be smaller than 1, because 3 is smaller than 20. So let's throw some 0's on here. 20 doesn't go into 3, but it does go into 30 1 time. 1 times 20 is 20. Subtract, we get a 10. Bring down a 0. 20 goes into 100 5 times. 5 times 20 is 100. And we are done. So notice, 3 over 20 is the exact same thing. So 9 and 3/20 is the exact same thing as 9 and 15/100. These are all equivalent answers.How many hours are in 549 minutes? And we can write it as a decimal or a fraction. So essentially, we're going to take 549 minutes and divide them into groups of 60. Why 60? Because we know that one hour is equal to 60 minutes. So it's essentially saying, how many groups of 60 minutes can we divide 549 into. Or another way of thinking about that is, well, what is 549 divided into groups of 60. This is how many hours we're going to have. So let's do that. Let's take 549 and divide it by 60. So let's see, 6 goes into 54 9 times. So 60 is going to go into 540 9 times. We're going to have a little bit left over. So we have 9 times 60 is 540. We subtract. We have 9 left over. And now let's see, we have a little left over, so we're going to get a decimal. So let's put a decimal place right over here and let's throw some 0's over there. Let's bring down a 0. So we bring down a 0. 60 goes into 90 1 time. 1 times 60 is 60. And we subtract. We get 30. Let's bring down another 0. And so we get to 300. 60 goes into 300 5 times. 5 times 60, 6 times 6 is 30, so 5 times 60 is 300. Subtract and we are done. So you divide 549 into groups of 60. You can divide it into 9.15 groups of 60 minutes. A group of 60 minutes is an hour. So this 549 minutes is 9.15 hours. I want to make sure that we can visualize that properly. So let's actually construct what 9.15 hours looks like. So let me draw a little line here, and on the top I'll label Hours, and on the bottom I'll label Minutes. So this is 0 hours, 0 minutes. And now we have 1 hour, which is 60 minutes. Now we have 2 hours, which is 120 minutes. Then you have 3 hours, which is 180 minutes. Then you have 4 hours, which is 240 minutes. 5 hours is 300 minutes. 6 hours is 360 minutes. 7 hours, I might be running out of space, is for 420 minutes. Let me copy and paste this someplace where I have more real estate. So let me clear that. And then let me paste that someplace where I don't run into my other math that I did. All right. So then you have 8 hours is 480 minutes. And then you have 9 hours. Notice, I'm just adding 60 minutes every time. 9 hours is 540 minutes. Or another way you could think about it is, well, if each hour is 60, 9 times 60 is 540. And we don't want to go to just 540. We have another 9 left. So then we have to go another 9 minutes to go to 549. So you have 9 minutes left over. So another way of thinking about this, is that 549 is 9 hours. And then you have 9 minutes left over. And 9 minutes is what fraction of an hour? Well, 60 minutes is a whole hour. So 9 minutes is 9/60 of an hour. So you could write it this way. It's 9 and 9/60 hours. Or we could write this as an equivalent fraction. 9/60 is the same thing if we divide the numerator and the denominator by 3, is the same thing as 3/20. So we could write this as 9 and 3/20. And 3/20, well we could figure out what that is going to be. Let's see, 20 divided by 3. It's definitely going to be smaller than 1, because 3 is smaller than 20. So let's throw some 0's on here. 20 doesn't go into 3, but it does go into 30 1 time. 1 times 20 is 20. Subtract, we get a 10. Bring down a 0. 20 goes into 100 5 times. 5 times 20 is 100. And we are done. So notice, 3 over 20 is the exact same thing. So 9 and 3/20 is the exact same thing as 9 and 15/100. These are all equivalent answers.How many hours are in 549 minutes? And we can write it as a decimal or a fraction. So essentially, we're going to take 549 minutes and divide them into groups of 60. Why 60? Because we know that one hour is equal to 60 minutes. So it's essentially saying, how many groups of 60 minutes can we divide 549 into. Or another way of thinking about that is, well, what is 549 divided into groups of 60. This is how many hours we're going to have. So let's do that. Let's take 549 and divide it by 60. So let's see, 6 goes into 54 9 times. So 60 is going to go into 540 9 times. We're going to have a little bit left over. So we have 9 times 60 is 540. We subtract. We have 9 left over. And now let's see, we have a little left over, so we're going to get a decimal. So let's put a decimal place right over here and let's throw some 0's over there. Let's bring down a 0. So we bring down a 0. 60 goes into 90 1 time. 1 times 60 is 60. And we subtract. We get 30. Let's bring down another 0. And so we get to 300. 60 goes into 300 5 times. 5 times 60, 6 times 6 is 30, so 5 times 60 is 300. Subtract and we are done. So you divide 549 into groups of 60. You can divide it into 9.15 groups of 60 minutes. A group of 60 minutes is an hour. So this 549 minutes is 9.15 hours. I want to make sure that we can visualize that properly. So let's actually construct what 9.15 hours looks like. So let me draw a little line here, and on the top I'll label Hours, and on the bottom I'll label Minutes. So this is 0 hours, 0 minutes. And now we have 1 hour, which is 60 minutes. Now we have 2 hours, which is 120 minutes. Then you have 3 hours, which is 180 minutes. Then you have 4 hours, which is 240 minutes. 5 hours is 300 minutes. 6 hours is 360 minutes. 7 hours, I might be running out of space, is for 420 minutes. Let me copy and paste this someplace where I have more real estate. So let me clear that. And then let me paste that someplace where I don't run into my other math that I did. All right. So then you have 8 hours is 480 minutes. And then you have 9 hours. Notice, I'm just adding 60 minutes every time. 9 hours is 540 minutes. Or another way you could think about it is, well, if each hour is 60, 9 times 60 is 540. And we don't want to go to just 540. We have another 9 left. So then we have to go another 9 minutes to go to 549. So you have 9 minutes left over. So another way of thinking about this, is that 549 is 9 hours. And then you have 9 minutes left over. And 9 minutes is what fraction of an hour? Well, 60 minutes is a whole hour. So 9 minutes is 9/60 of an hour. So you could write it this way. It's 9 and 9/60 hours. Or we could write this as an equivalent fraction. 9/60 is the same thing if we divide the numerator and the denominator by 3, is the same thing as 3/20. So we could write this as 9 and 3/20. And 3/20, well we could figure out what that is going to be. Let's see, 20 divided by 3. It's definitely going to be smaller than 1, because 3 is smaller than 20. So let's throw some 0's on here. 20 doesn't go into 3, but it does go into 30 1 time. 1 times 20 is 20. Subtract, we get a 10. Bring down a 0. 20 goes into 100 5 times. 5 times 20 is 100. And we are done. So notice, 3 over 20 is the exact same thing. So 9 and 3/20 is the exact same thing as 9 and 15/100. These are all equivalent answers.How many hours are in 549 minutes? And we can write it as a decimal or a fraction. So essentially, we're going to take 549 minutes and divide them into groups of 60. Why 60? Because we know that one hour is equal to 60 minutes. So it's essentially saying, how many groups of 60 minutes can we divide 549 into. Or another way of thinking about that is, well, what is 549 divided into groups of 60. This is how many hours we're going to have. So let's do that. Let's take 549 and divide it by 60. So let's see, 6 goes into 54 9 times. So 60 is going to go into 540 9 times. We're going to have a little bit left over. So we have 9 times 60 is 540. We subtract. We have 9 left over. And now let's see, we have a little left over, so we're going to get a decimal. So let's put a decimal place right over here and let's throw some 0's over there. Let's bring down a 0. So we bring down a 0. 60 goes into 90 1 time. 1 times 60 is 60. And we subtract. We get 30. Let's bring down another 0. And so we get to 300. 60 goes into 300 5 times. 5 times 60, 6 times 6 is 30, so 5 times 60 is 300. Subtract and we are done. So you divide 549 into groups of 60. You can divide it into 9.15 groups of 60 minutes. A group of 60 minutes is an hour. So this 549 minutes is 9.15 hours. I want to make sure that we can visualize that properly. So let's actually construct what 9.15 hours looks like. So let me draw a little line here, and on the top I'll label Hours, and on the bottom I'll label Minutes. So this is 0 hours, 0 minutes. And now we have 1 hour, which is 60 minutes. Now we have 2 hours, which is 120 minutes. Then you have 3 hours, which is 180 minutes. Then you have 4 hours, which is 240 minutes. 5 hours is 300 minutes. 6 hours is 360 minutes. 7 hours, I might be running out of space, is for 420 minutes. Let me copy and paste this someplace where I have more real estate. So let me clear that. And then let me paste that someplace where I don't run into my other math that I did. All right. So then you have 8 hours is 480 minutes. And then you have 9 hours. Notice, I'm just adding 60 minutes every time. 9 hours is 540 minutes. Or another way you could think about it is, well, if each hour is 60, 9 times 60 is 540. And we don't want to go to just 540. We have another 9 left. So then we have to go another 9 minutes to go to 549. So you have 9 minutes left over. So another way of thinking about this, is that 549 is 9 hours. And then you have 9 minutes left over. And 9 minutes is what fraction of an hour? Well, 60 minutes is a whole hour. So 9 minutes is 9/60 of an hour. So you could write it this way. It's 9 and 9/60 hours. Or we could write this as an equivalent fraction. 9/60 is the same thing if we divide the numerator and the denominator by 3, is the same thing as 3/20. So we could write this as 9 and 3/20. And 3/20, well we could figure out what that is going to be. Let's see, 20 divided by 3. It's definitely going to be smaller than 1, because 3 is smaller than 20. So let's throw some 0's on here. 20 doesn't go into 3, but it does go into 30 1 time. 1 times 20 is 20. Subtract, we get a 10. Bring down a 0. 20 goes into 100 5 times. 5 times 20 is 100. And we are done. So notice, 3 over 20 is the exact same thing. So 9 and 3/20 is the exact same thing as 9 and 15/100. These are all equivalent answers.How many hours are in 549 minutes? And we can write it as a decimal or a fraction. So essentially, we're going to take 549 minutes and divide them into groups of 60. Why 60? Because we know that one hour is equal to 60 minutes. So it's essentially saying, how many groups of 60 minutes can we divide 549 into. Or another way of thinking about that is, well, what is 549 divided into groups of 60. This is how many hours we're going to have. So let's do that. Let's take 549 and divide it by 60. So let's see, 6 goes into 54 9 times. So 60 is going to go into 540 9 times. We're going to have a little bit left over. So we have 9 times 60 is 540. We subtract. We have 9 left over. And now let's see, we have a little left over, so we're going to get a decimal. So let's put a decimal place right over here and let's throw some 0's over there. Let's bring down a 0. So we bring down a 0. 60 goes into 90 1 time. 1 times 60 is 60. And we subtract. We get 30. Let's bring down another 0. And so we get to 300. 60 goes into 300 5 times. 5 times 60, 6 times 6 is 30, so 5 times 60 is 300. Subtract and we are done. So you divide 549 into groups of 60. You can divide it into 9.15 groups of 60 minutes. A group of 60 minutes is an hour. So this 549 minutes is 9.15 hours. I want to make sure that we can visualize that properly. So let's actually construct what 9.15 hours looks like. So let me draw a little line here, and on the top I'll label Hours, and on the bottom I'll label Minutes. So this is 0 hours, 0 minutes. And now we have 1 hour, which is 60 minutes. Now we have 2 hours, which is 120 minutes. Then you have 3 hours, which is 180 minutes. Then you have 4 hours, which is 240 minutes. 5 hours is 300 minutes. 6 hours is 360 minutes. 7 hours, I might be running out of space, is for 420 minutes. Let me copy and paste this someplace where I have more real estate. So let me clear that. And then let me paste that someplace where I don't run into my other math that I did. All right. So then you have 8 hours is 480 minutes. And then you have 9 hours. Notice, I'm just adding 60 minutes every time. 9 hours is 540 minutes. Or another way you could think about it is, well, if each hour is 60, 9 times 60 is 540. And we don't want to go to just 540. We have another 9 left. So then we have to go another 9 minutes to go to 549. So you have 9 minutes left over. So another way of thinking about this, is that 549 is 9 hours. And then you have 9 minutes left over. And 9 minutes is what fraction of an hour? Well, 60 minutes is a whole hour. So 9 minutes is 9/60 of an hour. So you could write it this way. It's 9 and 9/60 hours. Or we could write this as an equivalent fraction. 9/60 is the same thing if we divide the numerator and the denominator by 3, is the same thing as 3/20. So we could write this as 9 and 3/20. And 3/20, well we could figure out what that is going to be. Let's see, 20 divided by 3. It's definitely going to be smaller than 1, because 3 is smaller than 20. So let's throw some 0's on here. 20 doesn't go into 3, but it does go into 30 1 time. 1 times 20 is 20. Subtract, we get a 10. Bring down a 0. 20 goes into 100 5 times. 5 times 20 is 100. And we are done. So notice, 3 over 20 is the exact same thing. So 9 and 3/20 is the exact same thing as 9 and 15/100. These are all equivalent answers.How many hours are in 549 minutes? And we can write it as a decimal or a fraction. So essentially, we're going to take 549 minutes and divide them into groups of 60. Why 60? Because we know that one hour is equal to 60 minutes. So it's essentially saying, how many groups of 60 minutes can we divide 549 into. Or another way of thinking about that is, well, what is 549 divided into groups of 60. This is how many hours we're going to have. So let's do that. Let's take 549 and divide it by 60. So let's see, 6 goes into 54 9 times. So 60 is going to go into 540 9 times. We're going to have a little bit left over. So we have 9 times 60 is 540. We subtract. We have 9 left over. And now let's see, we have a little left over, so we're going to get a decimal. So let's put a decimal place right over here and let's throw some 0's over there. Let's bring down a 0. So we bring down a 0. 60 goes into 90 1 time. 1 times 60 is 60. And we subtract. We get 30. Let's bring down another 0. And so we get to 300. 60 goes into 300 5 times. 5 times 60, 6 times 6 is 30, so 5 times 60 is 300. Subtract and we are done. So you divide 549 into groups of 60. You can divide it into 9.15 groups of 60 minutes. A group of 60 minutes is an hour. So this 549 minutes is 9.15 hours. I want to make sure that we can visualize that properly. So let's actually construct what 9.15 hours looks like. So let me draw a little line here, and on the top I'll label Hours, and on the bottom I'll label Minutes. So this is 0 hours, 0 minutes. And now we have 1 hour, which is 60 minutes. Now we have 2 hours, which is 120 minutes. Then you have 3 hours, which is 180 minutes. Then you have 4 hours, which is 240 minutes. 5 hours is 300 minutes. 6 hours is 360 minutes. 7 hours, I might be running out of space, is for 420 minutes. Let me copy and paste this someplace where I have more real estate. So let me clear that. And then let me paste that someplace where I don't run into my other math that I did. All right. So then you have 8 hours is 480 minutes. And then you have 9 hours. Notice, I'm just adding 60 minutes every time. 9 hours is 540 minutes. Or another way you could think about it is, well, if each hour is 60, 9 times 60 is 540. And we don't want to go to just 540. We have another 9 left. So then we have to go another 9 minutes to go to 549. So you have 9 minutes left over. So another way of thinking about this, is that 549 is 9 hours. And then you have 9 minutes left over. And 9 minutes is what fraction of an hour? Well, 60 minutes is a whole hour. So 9 minutes is 9/60 of an hour. So you could write it this way. It's 9 and 9/60 hours. Or we could write this as an equivalent fraction. 9/60 is the same thing if we divide the numerator and the denominator by 3, is the same thing as 3/20. So we could write this as 9 and 3/20. And 3/20, well we could figure out what that is going to be. Let's see, 20 divided by 3. It's definitely going to be smaller than 1, because 3 is smaller than 20. So let's throw some 0's on here. 20 doesn't go into 3, but it does go into 30 1 time. 1 times 20 is 20. Subtract, we get a 10. Bring down a 0. 20 goes into 100 5 times. 5 times 20 is 100. And we are done. So notice, 3 over 20 is the exact same thing. So 9 and 3/20 is the exact same thing as 9 and 15/100. These are all equivalent answers.How many hours are in 549 minutes? And we can write it as a decimal or a fraction. So essentially, we're going to take 549 minutes and divide them into groups of 60. Why 60? Because we know that one hour is equal to 60 minutes. So it's essentially saying, how many groups of 60 minutes can we divide 549 into. Or another way of thinking about that is, well, what is 549 divided into groups of 60. This is how many hours we're going to have. So let's do that. Let's take 549 and divide it by 60. So let's see, 6 goes into 54 9 times. So 60 is going to go into 540 9 times. We're going to have a little bit left over. So we have 9 times 60 is 540. We subtract. We have 9 left over. And now let's see, we have a little left over, so we're going to get a decimal. So let's put a decimal place right over here and let's throw some 0's over there. Let's bring down a 0. So we bring down a 0. 60 goes into 90 1 time. 1 times 60 is 60. And we subtract. We get 30. Let's bring down another 0. And so we get to 300. 60 goes into 300 5 times. 5 times 60, 6 times 6 is 30, so 5 times 60 is 300. Subtract and we are done. So you divide 549 into groups of 60. You can divide it into 9.15 groups of 60 minutes. A group of 60 minutes is an hour. So this 549 minutes is 9.15 hours. I want to make sure that we can visualize that properly. So let's actually construct what 9.15 hours looks like. So let me draw a little line here, and on the top I'll label Hours, and on the bottom I'll label Minutes. So this is 0 hours, 0 minutes. And now we have 1 hour, which is 60 minutes. Now we have 2 hours, which is 120 minutes. Then you have 3 hours, which is 180 minutes. Then you have 4 hours, which is 240 minutes. 5 hours is 300 minutes. 6 hours is 360 minutes. 7 hours, I might be running out of space, is for 420 minutes. Let me copy and paste this someplace where I have more real estate. So let me clear that. And then let me paste that someplace where I don't run into my other math that I did. All right. So then you have 8 hours is 480 minutes. And then you have 9 hours. Notice, I'm just adding 60 minutes every time. 9 hours is 540 minutes. Or another way you could think about it is, well, if each hour is 60, 9 times 60 is 540. And we don't want to go to just 540. We have another 9 left. So then we have to go another 9 minutes to go to 549. So you have 9 minutes left over. So another way of thinking about this, is that 549 is 9 hours. And then you have 9 minutes left over. And 9 minutes is what fraction of an hour? Well, 60 minutes is a whole hour. So 9 minutes is 9/60 of an hour. So you could write it this way. It's 9 and 9/60 hours. Or we could write this as an equivalent fraction. 9/60 is the same thing if we divide the numerator and the denominator by 3, is the same thing as 3/20. So we could write this as 9 and 3/20. And 3/20, well we could figure out what that is going to be. Let's see, 20 divided by 3. It's definitely going to be smaller than 1, because 3 is smaller than 20. So let's throw some 0's on here. 20 doesn't go into 3, but it does go into 30 1 time. 1 times 20 is 20. Subtract, we get a 10. Bring down a 0. 20 goes into 100 5 times. 5 times 20 is 100. And we are done. So notice, 3 over 20 is the exact same thing. So 9 and 3/20 is the exact same thing as 9 and 15/100. These are all equivalent answers.How many hours are in 549 minutes? And we can write it as a decimal or a fraction. So essentially, we're going to take 549 minutes and divide them into groups of 60. Why 60? Because we know that one hour is equal to 60 minutes. So it's essentially saying, how many groups of 60 minutes can we divide 549 into. Or another way of thinking about that is, well, what is 549 divided into groups of 60. This is how many hours we're going to have. So let's do that. Let's take 549 and divide it by 60. So let's see, 6 goes into 54 9 times. So 60 is going to go into 540 9 times. We're going to have a little bit left over. So we have 9 times 60 is 540. We subtract. We have 9 left over. And now let's see, we have a little left over, so we're going to get a decimal. So let's put a decimal place right over here and let's throw some 0's over there. Let's bring down a 0. So we bring down a 0. 60 goes into 90 1 time. 1 times 60 is 60. And we subtract. We get 30. Let's bring down another 0. And so we get to 300. 60 goes into 300 5 times. 5 times 60, 6 times 6 is 30, so 5 times 60 is 300. Subtract and we are done. So you divide 549 into groups of 60. You can divide it into 9.15 groups of 60 minutes. A group of 60 minutes is an hour. So this 549 minutes is 9.15 hours. I want to make sure that we can visualize that properly. So let's actually construct what 9.15 hours looks like. So let me draw a little line here, and on the top I'll label Hours, and on the bottom I'll label Minutes. So this is 0 hours, 0 minutes. And now we have 1 hour, which is 60 minutes. Now we have 2 hours, which is 120 minutes. Then you have 3 hours, which is 180 minutes. Then you have 4 hours, which is 240 minutes. 5 hours is 300 minutes. 6 hours is 360 minutes. 7 hours, I might be running out of space, is for 420 minutes. Let me copy and paste this someplace where I have more real estate. So let me clear that. And then let me paste that someplace where I don't run into my other math that I did. All right. So then you have 8 hours is 480 minutes. And then you have 9 hours. Notice, I'm just adding 60 minutes every time. 9 hours is 540 minutes. Or another way you could think about it is, well, if each hour is 60, 9 times 60 is 540. And we don't want to go to just 540. We have another 9 left. So then we have to go another 9 minutes to go to 549. So you have 9 minutes left over. So another way of thinking about this, is that 549 is 9 hours. And then you have 9 minutes left over. And 9 minutes is what fraction of an hour? Well, 60 minutes is a whole hour. So 9 minutes is 9/60 of an hour. So you could write it this way. It's 9 and 9/60 hours. Or we could write this as an equivalent fraction. 9/60 is the same thing if we divide the numerator and the denominator by 3, is the same thing as 3/20. So we could write this as 9 and 3/20. And 3/20, well we could figure out what that is going to be. Let's see, 20 divided by 3. It's definitely going to be smaller than 1, because 3 is smaller than 20. So let's throw some 0's on here. 20 doesn't go into 3, but it does g(4 votes) - Bottlenose dolphins are small, toothed whales that have a long, beaklike snout, a sickle-shaped dorsal fin, and sharp teeth. Dolphins breathe air through a single blowhole. They grow to be at most 12 feet (3.3 m) long. Dolphins live in small groups of up to 12 whales; these groups are called pods. Dolphins make high-pitched whistles, clicks, moans, squeaks, and other sounds. Bottlenose dolphins have a life span of about 25 years.Honeybees are social insects that live in hives. Like all insects, bees have six legs, a three-part body, a pair of antennae, compound eyes, jointed legs, and a hard exoskeleton. The three body parts are the head, thorax, and abdomen (the tail end).
Bees can fly about 15 mph (24 kph). They eat nectar (a sweet liquid made by flowers) which they turn into honey. In the process of going from flower to flower to collect nectar, pollen from many plants gets stuck on the bee's pollen baskets (hairs on the hind legs). Pollen is also rubbed off of flowers. This pollinates many flowers (fertilizing them and producing seeds).Bottlenose dolphins are small, toothed whales that have a long, beaklike snout, a sickle-shaped dorsal fin, and sharp teeth. Dolphins breathe air through a single blowhole. They grow to be at most 12 feet (3.3 m) long. Dolphins live in small groups of up to 12 whales; these groups are called pods. Dolphins make high-pitched whistles, clicks, moans, squeaks, and other sounds. Bottlenose dolphins have a life span of about 25 years.(3 votes) - NEvER GoNa GivE YoU Up NeVeR GOnNA Let YoU DoWN(3 votes)
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How many hours are in 549 minutes? And we can write it as a decimal or a fraction. So essentially, we're going to take 549 minutes and divide them into groups of 60. Why 60? Because we know that one hour is equal to 60 minutes. So it's essentially saying, how many groups of 60 minutes can we divide 549 into. Or another way of thinking about that is, well, what is 549 divided into groups of 60. This is how many hours we're going to have. So let's do that. Let's take 549 and divide it by 60. So let's see, 6 goes into 54 9 times. So 60 is going to go into 540 9 times. We're going to have a little bit left over. So we have 9 times 60 is 540. We subtract. We have 9 left over. And now let's see, we have a little left over, so we're going to get a decimal. So let's put a decimal place right over here and let's throw some 0's over there. Let's bring down a 0. So we bring down a 0. 60 goes into 90 1 time. 1 times 60 is 60. And we subtract. We get 30. Let's bring down another 0. And so we get to 300. 60 goes into 300 5 times. 5 times 60, 6 times 6 is 30, so 5 times 60 is 300. Subtract and we are done. So you divide 549 into groups of 60. You can divide it into 9.15 groups of 60 minutes. A group of 60 minutes is an hour. So this 549 minutes is 9.15 hours. I want to make sure that we can visualize that properly. So let's actually construct what 9.15 hours looks like. So let me draw a little line here, and on the top I'll label Hours, and on the bottom I'll label Minutes. So this is 0 hours, 0 minutes. And now we have 1 hour, which is 60 minutes. Now we have 2 hours, which is 120 minutes. Then you have 3 hours, which is 180 minutes. Then you have 4 hours, which is 240 minutes. 5 hours is 300 minutes. 6 hours is 360 minutes. 7 hours, I might be running out of space, is for 420 minutes. Let me copy and paste this someplace where I have more real estate. So let me clear that. And then let me paste that someplace where I don't run into my other math that I did. All right. So then you have 8 hours is 480 minutes. And then you have 9 hours. Notice, I'm just adding 60 minutes every time. 9 hours is 540 minutes. Or another way you could think about it is, well, if each hour is 60, 9 times 60 is 540. And we don't want to go to just 540. We have another 9 left. So then we have to go another 9 minutes to go to 549. So you have 9 minutes left over. So another way of thinking about this, is that 549 is 9 hours. And then you have 9 minutes left over. And 9 minutes is what fraction of an hour? Well, 60 minutes is a whole hour. So 9 minutes is 9/60 of an hour. So you could write it this way. It's 9 and 9/60 hours. Or we could write this as an equivalent fraction. 9/60 is the same thing if we divide the numerator and the denominator by 3, is the same thing as 3/20. So we could write this as 9 and 3/20. And 3/20, well we could figure out what that is going to be. Let's see, 20 divided by 3. It's definitely going to be smaller than 1, because 3 is smaller than 20. So let's throw some 0's on here. 20 doesn't go into 3, but it does go into 30 1 time. 1 times 20 is 20. Subtract, we get a 10. Bring down a 0. 20 goes into 100 5 times. 5 times 20 is 100. And we are done. So notice, 3 over 20 is the exact same thing. So 9 and 3/20 is the exact same thing as 9 and 15/100. These are all equivalent answers.How many hours are in 549 minutes? And we can write it as a decimal or a fraction. So essentially, we're going to take 549 minutes and divide them into groups of 60. Why 60? Because we know that one hour is equal to 60 minutes. So it's essentially saying, how many groups of 60 minutes can we divide 549 into. Or another way of thinking about that is, well, what is 549 divided into groups of 60. This is how many hours we're going to have. So let's do that. Let's take 549 and divide it by 60. So let's see, 6 goes into 54 9 times. So 60 is going to go into 540 9 times. We're going to have a little bit left over. So we have 9 times 60 is 540. We subtract. We have 9 left over. And now let's see, we have a little left over, so we're going to get a decimal. So let's put a decimal place right over here and let's throw some 0's over there. Let's bring down a 0. So we bring down a 0. 60 goes into 90 1 time. 1 times 60 is 60. And we subtract. We get 30. Let's bring down another 0. And so we get to 300. 60 goes into 300 5 times. 5 times 60, 6 times 6 is 30, so 5 times 60 is 300. Subtract and we are done. So you divide 549 into groups of 60. You can divide it into 9.15 groups of 60 minutes. A group of 60 minutes is an hour. So this 549 minutes is 9.15 hours. I want to make sure that we can visualize that properly. So let's actually construct what 9.15 hours looks like. So let me draw a little line here, and on the top I'll label Hours, and on the bottom I'll label Minutes. So this is 0 hours, 0 minutes. And now we have 1 hour, which is 60 minutes. Now we have 2 hours, which is 120 minutes. Then you have 3 hours, which is 180 minutes. Then you have 4 hours, which is 240 minutes. 5 hours is 300 minutes. 6 hours is 360 minutes. 7 hours, I might be running out of space, is for 420 minutes. Let me copy and paste this someplace where I have more real estate. So let me clear that. And then let me paste that someplace where I don't run into my other math that I did. All right. So then you have 8 hours is 480 minutes. And then you have 9 hours. Notice, I'm just adding 60 minutes every time. 9 hours is 540 minutes. Or another way you could think about it is, well, if each hour is 60, 9 times 60 is 540. And we don't want to go to just 540. We have another 9 left. So then we have to go another 9 minutes to go to 549. So you have 9 minutes left over. So another way of thinking about this, is that 549 is 9 hours. And then you have 9 minutes left over. And 9 minutes is what fraction of an hour? Well, 60 minutes is a whole hour. So 9 minutes is 9/60 of an hour. So you could write it this way. It's 9 and 9/60 hours. Or we could write this as an equivalent fraction. 9/60 is the same thing if we divide the numerator and the denominator by 3, is the same thing as 3/20. So we could write this as 9 and 3/20. And 3/20, well we could figure out what that is going to be. Let's see, 20 divided by 3. It's definitely going to be smaller than 1, because 3 is smaller than 20. So let's throw some 0's on here. 20 doesn't go into 3, but it does go into 30 1 time. 1 times 20 is 20. Subtract, we get a 10. Bring down a 0. 20 goes into 100 5 times. 5 times 20 is 100. And we are done. So notice, 3 over 20 is the exact same thing. So 9 and 3/20 is the exact same thing as 9 and 15/100. These are all equivalent answers.How many hours are in 549 minutes? And we can write it as a decimal or a fraction. So essentially, we're going to take 549 minutes and divide them into groups of 60. Why 60? Because we know that one hour is equal to 60 minutes. So it's essentially saying, how many groups of 60 minutes can we divide 549 into. Or another way of thinking about that is, well, what is 549 divided into groups of 60. This is how many hours we're going to have. So let's do that. Let's take 549 and divide it by 60. So let's see, 6 goes into 54 9 times. So 60 is going to go into 540 9 times. We're going to have a little bit left over. So we have 9 times 60 is 540. We subtract. We have 9 left over. And now let's see, we have a little left over, so we're going to get a decimal. So let's put a decimal place right over here and let's throw some 0's over there. Let's bring down a 0. So we bring down a 0. 60 goes into 90 1 time. 1 times 60 is 60. And we subtract. We get 30. Let's bring down another 0. And so we get to 300. 60 goes into 300 5 times. 5 times 60, 6 times 6 is 30, so 5 times 60 is 300. Subtract and we are done. So you divide 549 into groups of 60. You can divide it into 9.15 groups of 60 minutes. A group of 60 minutes is an hour. So this 549 minutes is 9.15 hours. I want to make sure that we can visualize that properly. So let's actually construct what 9.15 hours looks like. So let me draw a little line here, and on the top I'll label Hours, and on the bottom I'll label Minutes. So this is 0 hours, 0 minutes. And now we have 1 hour, which is 60 minutes. Now we have 2 hours, which is 120 minutes. Then you have 3 hours, which is 180 minutes. Then you have 4 hours, which is 240 minutes. 5 hours is 300 minutes. 6 hours is 360 minutes. 7 hours, I might be running out of space, is for 420 minutes. Let me copy and paste this someplace where I have more real estate. So let me clear that. And then let me paste that someplace where I don't run into my other math that I did. All right. So then you have 8 hours is 480 minutes. And then you have 9 hours. Notice, I'm just adding 60 minutes every time. 9 hours is 540 minutes. Or another way you could think about it is, well, if each hour is 60, 9 times 60 is 540. And we don't want to go to just 540. We have another 9 left. So then we have to go another 9 minutes to go to 549. So you have 9 minutes left over. So another way of thinking about this, is that 549 is 9 hours. And then you have 9 minutes left over. And 9 minutes is what fraction of an hour? Well, 60 minutes is a whole hour. So 9 minutes is 9/60 of an hour. So you could write it this way. It's 9 and 9/60 hours. Or we could write this as an equivalent fraction. 9/60 is the same thing if we divide the numerator and the denominator by 3, is the same thing as 3/20. So we could write this as 9 and 3/20. And 3/20, well we could figure out what that is going to be. Let's see, 20 divided by 3. It's definitely going to be smaller than 1, because 3 is smaller than 20. So let's throw some 0's on here. 20 doesn't go into 3, but it does go into 30 1 time. 1 times 20 is 20. Subtract, we get a 10. Bring down a 0. 20 goes into 100 5 times. 5 times 20 is 100. And we are done. So notice, 3 over 20 is the exact same thing. So 9 and 3/20 is the exact same thing as 9 and 15/100. These are all equivalent answers.How many hours are in 549 minutes? And we can write it as a decimal or a fraction. So essentially, we're going to take 549 minutes and divide them into groups of 60. Why 60? Because we know that one hour is equal to 60 minutes. So it's essentially saying, how many groups of 60 minutes can we divide 549 into. Or another way of thinking about that is, well, what is 549 divided into groups of 60. This is how many hours we're going to have. So let's do that. Let's take 549 and divide it by 60. So let's see, 6 goes into 54 9 times. So 60 is going to go into 540 9 times. We're going to have a little bit left over. So we have 9 times 60 is 540. We subtract. We have 9 left over. And now let's see, we have a little left over, so we're going to get a decimal. So let's put a decimal place right over here and let's throw some 0's over there. Let's bring down a 0. So we bring down a 0. 60 goes into 90 1 time. 1 times 60 is 60. And we subtract. We get 30. Let's bring down another 0. And so we get to 300. 60 goes into 300 5 times. 5 times 60, 6 times 6 is 30, so 5 times 60 is 300. Subtract and we are done. So you divide 549 into groups of 60. You can divide it into 9.15 groups of 60 minutes. A group of 60 minutes is an hour. So this 549 minutes is 9.15 hours. I want to make sure that we can visualize that properly. So let's actually construct what 9.15 hours looks like. So let me draw a little line here, and on the top I'll label Hours, and on the bottom I'll label Minutes. So this is 0 hours, 0 minutes. And now we have 1 hour, which is 60 minutes. Now we have 2 hours, which is 120 minutes. Then you have 3 hours, which is 180 minutes. Then you have 4 hours, which is 240 minutes. 5 hours is 300 minutes. 6 hours is 360 minutes. 7 hours, I might be running out of space, is for 420 minutes. Let me copy and paste this someplace where I have more real estate. So let me clear that. And then let me paste that someplace where I don't run into my other math that I did. All right. So then you have 8 hours is 480 minutes. And then you have 9 hours. Notice, I'm just adding 60 minutes every time. 9 hours is 540 minutes. Or another way you could think about it is, well, if each hour is 60, 9 times 60 is 540. And we don't want to go to just 540. We have another 9 left. So then we have to go another 9 minutes to go to 549. So you have 9 minutes left over. So another way of thinking about this, is that 549 is 9 hours. And then you have 9 minutes left over. And 9 minutes is what fraction of an hour? Well, 60 minutes is a whole hour. So 9 minutes is 9/60 of an hour. So you could write it this way. It's 9 and 9/60 hours. Or we could write this as an equivalent fraction. 9/60 is the same thing if we divide the numerator and the denominator by 3, is the same thing as 3/20. So we could write this as 9 and 3/20. And 3/20, well we could figure out what that is going to be. Let's see, 20 divided by 3. It's definitely going to be smaller than 1, because 3 is smaller than 20. So let's throw some 0's on here. 20 doesn't go into 3, but it does go into 30 1 time. 1 times 20 is 20. Subtract, we get a 10. Bring down a 0. 20 goes into 100 5 times. 5 times 20 is 100. And we are done. So notice, 3 over 20 is the exact same thing. So 9 and 3/20 is the exact same thing as 9 and 15/100. These are all equivalent answers.How many hours are in 549 minutes? And we can write it as a decimal or a fraction. So essentially, we're going to take 549 minutes and divide them into groups of 60. Why 60? Because we know that one hour is equal to 60 minutes. So it's essentially saying, how many groups of 60 minutes can we divide 549 into. Or another way of thinking about that is, well, what is 549 divided into groups of 60. This is how many hours we're going to have. So let's do that. Let's take 549 and divide it by 60. So let's see, 6 goes into 54 9 times. So 60 is going to go into 540 9 times. We're going to have a little bit left over. So we have 9 times 60 is 540. We subtract. We have 9 left over. And now let's see, we have a little left over, so we're going to get a decimal. So let's put a decimal place right over here and let's throw some 0's over there. Let's bring down a 0. So we bring down a 0. 60 goes into 90 1 time. 1 times 60 is 60. And we subtract. We get 30. Let's bring down another 0. And so we get to 300. 60 goes into 300 5 times. 5 times 60, 6 times 6 is 30, so 5 times 60 is 300. Subtract and we are done. So you divide 549 into groups of 60. You can divide it into 9.15 groups of 60 minutes. A group of 60 minutes is an hour. So this 549 minutes is 9.15 hours. I want to make sure that we can visualize that properly. So let's actually construct what 9.15 hours looks like. So let me draw a little line here, and on the top I'll label Hours, and on the bottom I'll label Minutes. So this is 0 hours, 0 minutes. And now we have 1 hour, which is 60 minutes. Now we have 2 hours, which is 120 minutes. Then you have 3 hours, which is 180 minutes. Then you have 4 hours, which is 240 minutes. 5 hours is 300 minutes. 6 hours is 360 minutes. 7 hours, I might be running out of space, is for 420 minutes. Let me copy and paste this someplace where I have more real estate. So let me clear that. And then let me paste that someplace where I don't run into my other math that I did. All right. So then you have 8 hours is 480 minutes. And then you have 9 hours. Notice, I'm just adding 60 minutes every time. 9 hours is 540 minutes. Or another way you could think about it is, well, if each hour is 60, 9 times 60 is 540. And we don't want to go to just 540. We have another 9 left. So then we have to go another 9 minutes to go to 549. So you have 9 minutes left over. So another way of thinking about this, is that 549 is 9 hours. And then you have 9 minutes left over. And 9 minutes is what fraction of an hour? Well, 60 minutes is a whole hour. So 9 minutes is 9/60 of an hour. So you could write it this way. It's 9 and 9/60 hours. Or we could write this as an equivalent fraction. 9/60 is the same thing if we divide the numerator and the denominator by 3, is the same thing as 3/20. So we could write this as 9 and 3/20. And 3/20, well we could figure out what that is going to be. Let's see, 20 divided by 3. It's definitely going to be smaller than 1, because 3 is smaller than 20. So let's throw some 0's on here. 20 doesn't go into 3, but it does go into 30 1 time. 1 times 20 is 20. Subtract, we get a 10. Bring down a 0. 20 goes into 100 5 times. 5 times 20 is 100. And we are done. So notice, 3 over 20 is the exact same thing. So 9 and 3/20 is the exact same thing as 9 and 15/100. These are all equivalent answers.How many hours are in 549 minutes? And we can write it as a decimal or a fraction. So essentially, we're going to take 549 minutes and divide them into groups of 60. Why 60? Because we know that one hour is equal to 60 minutes. So it's essentially saying, how many groups of 60 minutes can we divide 549 into. Or another way of thinking about that is, well, what is 549 divided into groups of 60. This is how many hours we're going to have. So let's do that. Let's take 549 and divide it by 60. So let's see, 6 goes into 54 9 times. So 60 is going to go into 540 9 times. We're going to have a little bit left over. So we have 9 times 60 is 540. We subtract. We have 9 left over. And now let's see, we have a little left over, so we're going to get a decimal. So let's put a decimal place right over here and let's throw some 0's over there. Let's bring down a 0. So we bring down a 0. 60 goes into 90 1 time. 1 times 60 is 60. And we subtract. We get 30. Let's bring down another 0. And so we get to 300. 60 goes into 300 5 times. 5 times 60, 6 times 6 is 30, so 5 times 60 is 300. Subtract and we are done. So you divide 549 into groups of 60. You can divide it into 9.15 groups of 60 minutes. A group of 60 minutes is an hour. So this 549 minutes is 9.15 hours. I want to make sure that we can visualize that properly. So let's actually construct what 9.15 hours looks like. So let me draw a little line here, and on the top I'll label Hours, and on the bottom I'll label Minutes. So this is 0 hours, 0 minutes. And now we have 1 hour, which is 60 minutes. Now we have 2 hours, which is 120 minutes. Then you have 3 hours, which is 180 minutes. Then you have 4 hours, which is 240 minutes. 5 hours is 300 minutes. 6 hours is 360 minutes. 7 hours, I might be running out of space, is for 420 minutes. Let me copy and paste this someplace where I have more real estate. So let me clear that. And then let me paste that someplace where I don't run into my other math that I did. All right. So then you have 8 hours is 480 minutes. And then you have 9 hours. Notice, I'm just adding 60 minutes every time. 9 hours is 540 minutes. Or another way you could think about it is, well, if each hour is 60, 9 times 60 is 540. And we don't want to go to just 540. We have another 9 left. So then we have to go another 9 minutes to go to 549. So you have 9 minutes left over. So another way of thinking about this, is that 549 is 9 hours. And then you have 9 minutes left over. And 9 minutes is what fraction of an hour? Well, 60 minutes is a whole hour. So 9 minutes is 9/60 of an hour. So you could write it this way. It's 9 and 9/60 hours. Or we could write this as an equivalent fraction. 9/60 is the same thing if we divide the numerator and the denominator by 3, is the same thing as 3/20. So we could write this as 9 and 3/20. And 3/20, well we could figure out what that is going to be. Let's see, 20 divided by 3. It's definitely going to be smaller than 1, because 3 is smaller than 20. So let's throw some 0's on here. 20 doesn't go into 3, but it does go into 30 1 time. 1 times 20 is 20. Subtract, we get a 10. Bring down a 0. 20 goes into 100 5 times. 5 times 20 is 100. And we are done. So notice, 3 over 20 is the exact same thing. So 9 and 3/20 is the exact same thing as 9 and 15/100. These are all equivalent answers.How many hours are in 549 minutes? And we can write it as a decimal or a fraction. So essentially, we're going to take 549 minutes and divide them into groups of 60. Why 60? Because we know that one hour is equal to 60 minutes. So it's essentially saying, how many groups of 60 minutes can we divide 549 into. Or another way of thinking about that is, well, what is 549 divided into groups of 60. This is how many hours we're going to have. So let's do that. Let's take 549 and divide it by 60. So let's see, 6 goes into 54 9 times. So 60 is going to go into 540 9 times. We're going to have a little bit left over. So we have 9 times 60 is 540. We subtract. We have 9 left over. And now let's see, we have a little left over, so we're going to get a decimal. So let's put a decimal place right over here and let's throw some 0's over there. Let's bring down a 0. So we bring down a 0. 60 goes into 90 1 time. 1 times 60 is 60. And we subtract. We get 30. Let's bring down another 0. And so we get to 300. 60 goes into 300 5 times. 5 times 60, 6 times 6 is 30, so 5 times 60 is 300. Subtract and we are done. So you divide 549 into groups of 60. You can divide it into 9.15 groups of 60 minutes. A group of 60 minutes is an hour. So this 549 minutes is 9.15 hours. I want to make sure that we can visualize that properly. So let's actually construct what 9.15 hours looks like. So let me draw a little line here, and on the top I'll label Hours, and on the bottom I'll label Minutes. So this is 0 hours, 0 minutes. And now we have 1 hour, which is 60 minutes. Now we have 2 hours, which is 120 minutes. Then you have 3 hours, which is 180 minutes. Then you have 4 hours, which is 240 minutes. 5 hours is 300 minutes. 6 hours is 360 minutes. 7 hours, I might be running out of space, is for 420 minutes. Let me copy and paste this someplace where I have more real estate. So let me clear that. And then let me paste that someplace where I don't run into my other math that I did. All right. So then you have 8 hours is 480 minutes. And then you have 9 hours. Notice, I'm just adding 60 minutes every time. 9 hours is 540 minutes. Or another way you could think about it is, well, if each hour is 60, 9 times 60 is 540. And we don't want to go to just 540. We have another 9 left. So then we have to go another 9 minutes to go to 549. So you have 9 minutes left over. So another way of thinking about this, is that 549 is 9 hours. And then you have 9 minutes left over. And 9 minutes is what fraction of an hour? Well, 60 minutes is a whole hour. So 9 minutes is 9/60 of an hour. So you could write it this way. It's 9 and 9/60 hours. Or we could write this as an equivalent fraction. 9/60 is the same thing if we divide the numerator and the denominator by 3, is the same thing as 3/20. So we could write this as 9 and 3/20. And 3/20, well we could figure out what that is going to be. Let's see, 20 divided by 3. It's definitely going to be smaller than 1, because 3 is smaller than 20. So let's throw some 0's on here. 20 doesn't go into 3, but it does go into 30 1 time. 1 times 20 is 20. Subtract, we get a 10. Bring down a 0. 20 goes into 100 5 times. 5 times 20 is 100. And we are done. So notice, 3 over 20 is the exact same thing. So 9 and 3/20 is the exact same thing as 9 and 15/100. These are all equivalent answers.How many hours are in 549 minutes? And we can write it as a decimal or a fraction. So essentially, we're going to take 549 minutes and divide them into groups of 60. Why 60? Because we know that one hour is equal to 60 minutes. So it's essentially saying, how many groups of 60 minutes can we divide 549 into. Or another way of thinking about that is, well, what is 549 divided into groups of 60. This is how many hours we're going to have. So let's do that. Let's take 549 and divide it by 60. So let's see, 6 goes into 54 9 times. So 60 is going to go into 540 9 times. We're going to have a little bit left over. So we have 9 times 60 is 540. We subtract. We have 9 left over. And now let's see, we have a little left over, so we're going to get a decimal. So let's put a decimal place right over here and let's throw some 0's over there. Let's bring down a 0. So we bring down a 0. 60 goes into 90 1 time. 1 times 60 is 60. And we subtract. We get 30. Let's bring down another 0. And so we get to 300. 60 goes into 300 5 times. 5 times 60, 6 times 6 is 30, so 5 times 60 is 300. Subtract and we are done. So you divide 549 into groups of 60. You can divide it into 9.15 groups of 60 minutes. A group of 60 minutes is an hour. So this 549 minutes is 9.15 hours. I want to make sure that we can visualize that properly. So let's actually construct what 9.15 hours looks like. So let me draw a little line here, and on the top I'll label Hours, and on the bottom I'll label Minutes. So this is 0 hours, 0 minutes. And now we have 1 hour, which is 60 minutes. Now we have 2 hours, which is 120 minutes. Then you have 3 hours, which is 180 minutes. Then you have 4 hours, which is 240 minutes. 5 hours is 300 minutes. 6 hours is 360 minutes. 7 hours, I might be running out of space, is for 420 minutes. Let me copy and paste this someplace where I have more real estate. So let me clear that. And then let me paste that someplace where I don't run into my other math that I did. All right. So then you have 8 hours is 480 minutes. And then you have 9 hours. Notice, I'm just adding 60 minutes every time. 9 hours is 540 minutes. Or another way you could think about it is, well, if each hour is 60, 9 times 60 is 540. And we don't want to go to just 540. We have another 9 left. So then we have to go another 9 minutes to go to 549. So you have 9 minutes left over. So another way of thinking about this, is that 549 is 9 hours. And then you have 9 minutes left over. And 9 minutes is what fraction of an hour? Well, 60 minutes is a whole hour. So 9 minutes is 9/60 of an hour. So you could write it this way. It's 9 and 9/60 hours. Or we could write this as an equivalent fraction. 9/60 is the same thing if we divide the numerator and the denominator by 3, is the same thing as 3/20. So we could write this as 9 and 3/20. And 3/20, well we could figure out what that is going to be. Let's see, 20 divided by 3. It's definitely going to be smaller than 1, because 3 is smaller than 20. So let's throw some 0's on here. 20 doesn't go into 3, but it does go into 30 1 time. 1 times 20 is 20. Subtract, we get a 10. Bring down a 0. 20 goes into 100 5 times. 5 times 20 is 100. And we are done. So notice, 3 over 20 is the exact same thing. So 9 and 3/20 is the exact same thing as 9 and 15/100. These are all equivalent answers.How many hours are in 549 minutes? And we can write it as a decimal or a fraction. So essentially, we're going to take 549 minutes and divide them into groups of 60. Why 60? Because we know that one hour is equal to 60 minutes. So it's essentially saying, how many groups of 60 minutes can we divide 549 into. Or another way of thinking about that is, well, what is 549 divided into groups of 60. This is how many hours we're going to have. So let's do that. Let's take 549 and divide it by 60. So let's see, 6 goes into 54 9 times. So 60 is going to go into 540 9 times. We're going to have a little bit left over. So we have 9 times 60 is 540. We subtract. We have 9 left over. And now let's see, we have a little left over, so we're going to get a decimal. So let's put a decimal place right over here and let's throw some 0's over there. Let's bring down a 0. So we bring down a 0. 60 goes into 90 1 time. 1 times 60 is 60. And we subtract. We get 30. Let's bring down another 0. And so we get to 300. 60 goes into 300 5 times. 5 times 60, 6 times 6 is 30, so 5 times 60 is 300. Subtract and we are done. So you divide 549 into groups of 60. You can divide it into 9.15 groups of 60 minutes. A group of 60 minutes is an hour. So this 549 minutes is 9.15 hours. I want to make sure that we can visualize that properly. So let's actually construct what 9.15 hours looks like. So let me draw a little line here, and on the top I'll label Hours, and on the bottom I'll label Minutes. So this is 0 hours, 0 minutes. And now we have 1 hour, which is 60 minutes. Now we have 2 hours, which is 120 minutes. Then you have 3 hours, which is 180 minutes. Then you have 4 hours, which is 240 minutes. 5 hours is 300 minutes. 6 hours is 360 minutes. 7 hours, I might be running out of space, is for 420 minutes. Let me copy and paste this someplace where I have more real estate. So let me clear that. And then let me paste that someplace where I don't run into my other math that I did. All right. So then you have 8 hours is 480 minutes. And then you have 9 hours. Notice, I'm just adding 60 minutes every time. 9 hours is 540 minutes. Or another way you could think about it is, well, if each hour is 60, 9 times 60 is 540. And we don't want to go to just 540. We have another 9 left. So then we have to go another 9 minutes to go to 549. So you have 9 minutes left over. So another way of thinking about this, is that 549 is 9 hours. And then you have 9 minutes left over. And 9 minutes is what fraction of an hour? Well, 60 minutes is a whole hour. So 9 minutes is 9/60 of an hour. So you could write it this way. It's 9 and 9/60 hours. Or we could write this as an equivalent fraction. 9/60 is the same thing if we divide the numerator and the denominator by 3, is the same thing as 3/20. So we could write this as 9 and 3/20. And 3/20, well we could figure out what that is going to be. Let's see, 20 divided by 3. It's definitely going to be smaller than 1, because 3 is smaller than 20. So let's throw some 0's on here. 20 doesn't go into 3, but it does go into 30 1 time. 1 times 20 is 20. Subtract, we get a 10. Bring down a 0. 20 goes into 100 5 times. 5 times 20 is 100. And we are done. So notice, 3 over(3 votes) - How many hours are in 549 minutes? And we can write it as a decimal or a fraction. So essentially, we're going to take 549 minutes and divide them into groups of 60. Why 60? Because we know that one hour is equal to 60 minutes. So it's essentially saying, how many groups of 60 minutes can we divide 549 into. Or another way of thinking about that is, well, what is 549 divided into groups of 60. This is how many hours we're going to have. So let's do that. Let's take 549 and divide it by 60. So let's see, 6 goes into 54 9 times. So 60 is going to go into 540 9 times. We're going to have a little bit left over. So we have 9 times 60 is 540. We subtract. We have 9 left over. And now let's see, we have a little left over, so we're going to get a decimal. So let's put a decimal place right over here and let's throw some 0's over there. Let's bring down a 0. So we bring down a 0. 60 goes into 90 1 time. 1 times 60 is 60. And we subtract. We get 30. Let's bring down another 0. And so we get to 300. 60 goes into 300 5 times. 5 times 60, 6 times 6 is 30, so 5 times 60 is 300. Subtract and we are done. So you divide 549 into groups of 60. You can divide it into 9.15 groups of 60 minutes. A group of 60 minutes is an hour. So this 549 minutes is 9.15 hours. I want to make sure that we can visualize that properly. So let's actually construct what 9.15 hours looks like. So let me draw a little line here, and on the top I'll label Hours, and on the bottom I'll label Minutes. So this is 0 hours, 0 minutes. And now we have 1 hour, which is 60 minutes. Now we have 2 hours, which is 120 minutes. Then you have 3 hours, which is 180 minutes. Then you have 4 hours, which is 240 minutes. 5 hours is 300 minutes. 6 hours is 360 minutes. 7 hours, I might be running out of space, is for 420 minutes. Let me copy and paste this someplace where I have more real estate. So let me clear that. And then let me paste that someplace where I don't run into my other math that I did. All right. So then you have 8 hours is 480 minutes. And then you have 9 hours. Notice, I'm just adding 60 minutes every time. 9 hours is 540 minutes. Or another way you could think about it is, well, if each hour is 60, 9 times 60 is 540. And we don't want to go to just 540. We have another 9 left. So then we have to go another 9 minutes to go to 549. So you have 9 minutes left over. So another way of thinking about this, is that 549 is 9 hours. And then you have 9 minutes left over. And 9 minutes is what fraction of an hour? Well, 60 minutes is a whole hour. So 9 minutes is 9/60 of an hour. So you could write it this way. It's 9 and 9/60 hours. Or we could write this as an equivalent fraction. 9/60 is the same thing if we divide the numerator and the denominator by 3, is the same thing as 3/20. So we could write this as 9 and 3/20. And 3/20, well we could figure out what that is going to be. Let's see, 20 divided by 3. It's definitely going to be smaller than 1, because 3 is smaller than 20. So let's throw some 0's on here. 20 doesn't go into 3, but it does go into 30 1 time. 1 times 20 is 20. Subtract, we get a 10. Bring down a 0. 20 goes into 100 5 times. 5 times 20 is 100. And we are done. So notice, 3 over 20 is the exact same thing. So 9 and 3/20 is the exact same thing as 9 and 15/100. These are all equivalent answers.How many hours are in 549 minutes? And we can write it as a decimal or a fraction. So essentially, we're going to take 549 minutes and divide them into groups of 60. Why 60? Because we know that one hour is equal to 60 minutes. So it's essentially saying, how many groups of 60 minutes can we divide 549 into. Or another way of thinking about that is, well, what is 549 divided into groups of 60. This is how many hours we're going to have. So let's do that. Let's take 549 and divide it by 60. So let's see, 6 goes into 54 9 times. So 60 is going to go into 540 9 times. We're going to have a little bit left over. So we have 9 times 60 is 540. We subtract. We have 9 left over. And now let's see, we have a little left over, so we're going to get a decimal. So let's put a decimal place right over here and let's throw some 0's over there. Let's bring down a 0. So we bring down a 0. 60 goes into 90 1 time. 1 times 60 is 60. And we subtract. We get 30. Let's bring down another 0. And so we get to 300. 60 goes into 300 5 times. 5 times 60, 6 times 6 is 30, so 5 times 60 is 300. Subtract and we are done. So you divide 549 into groups of 60. You can divide it into 9.15 groups of 60 minutes. A group of 60 minutes is an hour. So this 549 minutes is 9.15 hours. I want to make sure that we can visualize that properly. So let's actually construct what 9.15 hours looks like. So let me draw a little line here, and on the top I'll label Hours, and on the bottom I'll label Minutes. So this is 0 hours, 0 minutes. And now we have 1 hour, which is 60 minutes. Now we have 2 hours, which is 120 minutes. Then you have 3 hours, which is 180 minutes. Then you have 4 hours, which is 240 minutes. 5 hours is 300 minutes. 6 hours is 360 minutes. 7 hours, I might be running out of space, is for 420 minutes. Let me copy and paste this someplace where I have more real estate. So let me clear that. And then let me paste that someplace where I don't run into my other math that I did. All right. So then you have 8 hours is 480 minutes. And then you have 9 hours. Notice, I'm just adding 60 minutes every time. 9 hours is 540 minutes. Or another way you could think about it is, well, if each hour is 60, 9 times 60 is 540. And we don't want to go to just 540. We have another 9 left. So then we have to go another 9 minutes to go to 549. So you have 9 minutes left over. So another way of thinking about this, is that 549 is 9 hours. And then you have 9 minutes left over. And 9 minutes is what fraction of an hour? Well, 60 minutes is a whole hour. So 9 minutes is 9/60 of an hour. So you could write it this way. It's 9 and 9/60 hours. Or we could write this as an equivalent fraction. 9/60 is the same thing if we divide the numerator and the denominator by 3, is the same thing as 3/20. So we could write this as 9 and 3/20. And 3/20, well we could figure out what that is going to be. Let's see, 20 divided by 3. It's definitely going to be smaller than 1, because 3 is smaller than 20. So let's throw some 0's on here. 20 doesn't go into 3, but it does go into 30 1 time. 1 times 20 is 20. Subtract, we get a 10. Bring down a 0. 20 goes into 100 5 times. 5 times 20 is 100. And we are done. So notice, 3 over 20 is the exact same thing. So 9 and 3/20 is the exact same thing as 9 and 15/100. These are all equivalent answers.How many hours are in 549 minutes? And we can write it as a decimal or a fraction. So essentially, we're going to take 549 minutes and divide them into groups of 60. Why 60? Because we know that one hour is equal to 60 minutes. So it's essentially saying, how many groups of 60 minutes can we divide 549 into. Or another way of thinking about that is, well, what is 549 divided into groups of 60. This is how many hours we're going to have. So let's do that. Let's take 549 and divide it by 60. So let's see, 6 goes into 54 9 times. So 60 is going to go into 540 9 times. We're going to have a little bit left over. So we have 9 times 60 is 540. We subtract. We have 9 left over. And now let's see, we have a little left over, so we're going to get a decimal. So let's put a decimal place right over here and let's throw some 0's over there. Let's bring down a 0. So we bring down a 0. 60 goes into 90 1 time. 1 times 60 is 60. And we subtract. We get 30. Let's bring down another 0. And so we get to 300. 60 goes into 300 5 times. 5 times 60, 6 times 6 is 30, so 5 times 60 is 300. Subtract and we are done. So you divide 549 into groups of 60. You can divide it into 9.15 groups of 60 minutes. A group of 60 minutes is an hour. So this 549 minutes is 9.15 hours. I want to make sure that we can visualize that properly. So let's actually construct what 9.15 hours looks like. So let me draw a little line here, and on the top I'll label Hours, and on the bottom I'll label Minutes. So this is 0 hours, 0 minutes. And now we have 1 hour, which is 60 minutes. Now we have 2 hours, which is 120 minutes. Then you have 3 hours, which is 180 minutes. Then you have 4 hours, which is 240 minutes. 5 hours is 300 minutes. 6 hours is 360 minutes. 7 hours, I might be running out of space, is for 420 minutes. Let me copy and paste this someplace where I have more real estate. So let me clear that. And then let me paste that someplace where I don't run into my other math that I did. All right. So then you have 8 hours is 480 minutes. And then you have 9 hours. Notice, I'm just adding 60 minutes every time. 9 hours is 540 minutes. Or another way you could think about it is, well, if each hour is 60, 9 times 60 is 540. And we don't want to go to just 540. We have another 9 left. So then we have to go another 9 minutes to go to 549. So you have 9 minutes left over. So another way of thinking about this, is that 549 is 9 hours. And then you have 9 minutes left over. And 9 minutes is what fraction of an hour? Well, 60 minutes is a whole hour. So 9 minutes is 9/60 of an hour. So you could write it this way. It's 9 and 9/60 hours. Or we could write this as an equivalent fraction. 9/60 is the same thing if we divide the numerator and the denominator by 3, is the same thing as 3/20. So we could write this as 9 and 3/20. And 3/20, well we could figure out what that is going to be. Let's see, 20 divided by 3. It's definitely going to be smaller than 1, because 3 is smaller than 20. So let's throw some 0's on here. 20 doesn't go into 3, but it does go into 30 1 time. 1 times 20 is 20. Subtract, we get a 10. Bring down a 0. 20 goes into 100 5 times. 5 times 20 is 100. And we are done. So notice, 3 over 20 is the exact same thing. So 9 and 3/20 is the exact same thing as 9 and 15/100. These are all equivalent answers.How many hours are in 549 minutes? And we can write it as a decimal or a fraction. So essentially, we're going to take 549 minutes and divide them into groups of 60. Why 60? Because we know that one hour is equal to 60 minutes. So it's essentially saying, how many groups of 60 minutes can we divide 549 into. Or another way of thinking about that is, well, what is 549 divided into groups of 60. This is how many hours we're going to have. So let's do that. Let's take 549 and divide it by 60. So let's see, 6 goes into 54 9 times. So 60 is going to go into 540 9 times. We're going to have a little bit left over. So we have 9 times 60 is 540. We subtract. We have 9 left over. And now let's see, we have a little left over, so we're going to get a decimal. So let's put a decimal place right over here and let's throw some 0's over there. Let's bring down a 0. So we bring down a 0. 60 goes into 90 1 time. 1 times 60 is 60. And we subtract. We get 30. Let's bring down another 0. And so we get to 300. 60 goes into 300 5 times. 5 times 60, 6 times 6 is 30, so 5 times 60 is 300. Subtract and we are done. So you divide 549 into groups of 60. You can divide it into 9.15 groups of 60 minutes. A group of 60 minutes is an hour. So this 549 minutes is 9.15 hours. I want to make sure that we can visualize that properly. So let's actually construct what 9.15 hours looks like. So let me draw a little line here, and on the top I'll label Hours, and on the bottom I'll label Minutes. So this is 0 hours, 0 minutes. And now we have 1 hour, which is 60 minutes. Now we have 2 hours, which is 120 minutes. Then you have 3 hours, which is 180 minutes. Then you have 4 hours, which is 240 minutes. 5 hours is 300 minutes. 6 hours is 360 minutes. 7 hours, I might be running out of space, is for 420 minutes. Let me copy and paste this someplace where I have more real estate. So let me clear that. And then let me paste that someplace where I don't run into my other math that I did. All right. So then you have 8 hours is 480 minutes. And then you have 9 hours. Notice, I'm just adding 60 minutes every time. 9 hours is 540 minutes. Or another way you could think about it is, well, if each hour is 60, 9 times 60 is 540. And we don't want to go to just 540. We have another 9 left. So then we have to go another 9 minutes to go to 549. So you have 9 minutes left over. So another way of thinking about this, is that 549 is 9 hours. And then you have 9 minutes left over. And 9 minutes is what fraction of an hour? Well, 60 minutes is a whole hour. So 9 minutes is 9/60 of an hour. So you could write it this way. It's 9 and 9/60 hours. Or we could write this as an equivalent fraction. 9/60 is the same thing if we divide the numerator and the denominator by 3, is the same thing as 3/20. So we could write this as 9 and 3/20. And 3/20, well we could figure out what that is going to be. Let's see, 20 divided by 3. It's definitely going to be smaller than 1, because 3 is smaller than 20. So let's throw some 0's on here. 20 doesn't go into 3, but it does go into 30 1 time. 1 times 20 is 20. Subtract, we get a 10. Bring down a 0. 20 goes into 100 5 times. 5 times 20 is 100. And we are done. So notice, 3 over 20 is the exact same thing. So 9 and 3/20 is the exact same thing as 9 and 15/100. These are all equivalent answers.How many hours are in 549 minutes? And we can write it as a decimal or a fraction. So essentially, we're going to take 549 minutes and divide them into groups of 60. Why 60? Because we know that one hour is equal to 60 minutes. So it's essentially saying, how many groups of 60 minutes can we divide 549 into. Or another way of thinking about that is, well, what is 549 divided into groups of 60. This is how many hours we're going to have. So let's do that. Let's take 549 and divide it by 60. So let's see, 6 goes into 54 9 times. So 60 is going to go into 540 9 times. We're going to have a little bit left over. So we have 9 times 60 is 540. We subtract. We have 9 left over. And now let's see, we have a little left over, so we're going to get a decimal. So let's put a decimal place right over here and let's throw some 0's over there. Let's bring down a 0. So we bring down a 0. 60 goes into 90 1 time. 1 times 60 is 60. And we subtract. We get 30. Let's bring down another 0. And so we get to 300. 60 goes into 300 5 times. 5 times 60, 6 times 6 is 30, so 5 times 60 is 300. Subtract and we are done. So you divide 549 into groups of 60. You can divide it into 9.15 groups of 60 minutes. A group of 60 minutes is an hour. So this 549 minutes is 9.15 hours. I want to make sure that we can visualize that properly. So let's actually construct what 9.15 hours looks like. So let me draw a little line here, and on the top I'll label Hours, and on the bottom I'll label Minutes. So this is 0 hours, 0 minutes. And now we have 1 hour, which is 60 minutes. Now we have 2 hours, which is 120 minutes. Then you have 3 hours, which is 180 minutes. Then you have 4 hours, which is 240 minutes. 5 hours is 300 minutes. 6 hours is 360 minutes. 7 hours, I might be running out of space, is for 420 minutes. Let me copy and paste this someplace where I have more real estate. So let me clear that. And then let me paste that someplace where I don't run into my other math that I did. All right. So then you have 8 hours is 480 minutes. And then you have 9 hours. Notice, I'm just adding 60 minutes every time. 9 hours is 540 minutes. Or another way you could think about it is, well, if each hour is 60, 9 times 60 is 540. And we don't want to go to just 540. We have another 9 left. So then we have to go another 9 minutes to go to 549. So you have 9 minutes left over. So another way of thinking about this, is that 549 is 9 hours. And then you have 9 minutes left over. And 9 minutes is what fraction of an hour? Well, 60 minutes is a whole hour. So 9 minutes is 9/60 of an hour. So you could write it this way. It's 9 and 9/60 hours. Or we could write this as an equivalent fraction. 9/60 is the same thing if we divide the numerator and the denominator by 3, is the same thing as 3/20. So we could write this as 9 and 3/20. And 3/20, well we could figure out what that is going to be. Let's see, 20 divided by 3. It's definitely going to be smaller than 1, because 3 is smaller than 20. So let's throw some 0's on here. 20 doesn't go into 3, but it does go into 30 1 time. 1 times 20 is 20. Subtract, we get a 10. Bring down a 0. 20 goes into 100 5 times. 5 times 20 is 100. And we are done. So notice, 3 over 20 is the exact same thing. So 9 and 3/20 is the exact same thing as 9 and 15/100. These are all equivalent answers.How many hours are in 549 minutes? And we can write it as a decimal or a fraction. So essentially, we're going to take 549 minutes and divide them into groups of 60. Why 60? Because we know that one hour is equal to 60 minutes. So it's essentially saying, how many groups of 60 minutes can we divide 549 into. Or another way of thinking about that is, well, what is 549 divided into groups of 60. This is how many hours we're going to have. So let's do that. Let's take 549 and divide it by 60. So let's see, 6 goes into 54 9 times. So 60 is going to go into 540 9 times. We're going to have a little bit left over. So we have 9 times 60 is 540. We subtract. We have 9 left over. And now let's see, we have a little left over, so we're going to get a decimal. So let's put a decimal place right over here and let's throw some 0's over there. Let's bring down a 0. So we bring down a 0. 60 goes into 90 1 time. 1 times 60 is 60. And we subtract. We get 30. Let's bring down another 0. And so we get to 300. 60 goes into 300 5 times. 5 times 60, 6 times 6 is 30, so 5 times 60 is 300. Subtract and we are done. So you divide 549 into groups of 60. You can divide it into 9.15 groups of 60 minutes. A group of 60 minutes is an hour. So this 549 minutes is 9.15 hours. I want to make sure that we can visualize that properly. So let's actually construct what 9.15 hours looks like. So let me draw a little line here, and on the top I'll label Hours, and on the bottom I'll label Minutes. So this is 0 hours, 0 minutes. And now we have 1 hour, which is 60 minutes. Now we have 2 hours, which is 120 minutes. Then you have 3 hours, which is 180 minutes. Then you have 4 hours, which is 240 minutes. 5 hours is 300 minutes. 6 hours is 360 minutes. 7 hours, I might be running out of space, is for 420 minutes. Let me copy and paste this someplace where I have more real estate. So let me clear that. And then let me paste that someplace where I don't run into my other math that I did. All right. So then you have 8 hours is 480 minutes. And then you have 9 hours. Notice, I'm just adding 60 minutes every time. 9 hours is 540 minutes. Or another way you could think about it is, well, if each hour is 60, 9 times 60 is 540. And we don't want to go to just 540. We have another 9 left. So then we have to go another 9 minutes to go to 549. So you have 9 minutes left over. So another way of thinking about this, is that 549 is 9 hours. And then you have 9 minutes left over. And 9 minutes is what fraction of an hour? Well, 60 minutes is a whole hour. So 9 minutes is 9/60 of an hour. So you could write it this way. It's 9 and 9/60 hours. Or we could write this as an equivalent fraction. 9/60 is the same thing if we divide the numerator and the denominator by 3, is the same thing as 3/20. So we could write this as 9 and 3/20. And 3/20, well we could figure out what that is going to be. Let's see, 20 divided by 3. It's definitely going to be smaller than 1, because 3 is smaller than 20. So let's throw some 0's on here. 20 doesn't go into 3, but it does go into 30 1 time. 1 times 20 is 20. Subtract, we get a 10. Bring down a 0. 20 goes into 100 5 times. 5 times 20 is 100. And we are done. So notice, 3 over 20 is the exact same thing. So 9 and 3/20 is the exact same thing as 9 and 15/100. These are all equivalent answers.How many hours are in 549 minutes? And we can write it as a decimal or a fraction. So essentially, we're going to take 549 minutes and divide them into groups of 60. Why 60? Because we know that one hour is equal to 60 minutes. So it's essentially saying, how many groups of 60 minutes can we divide 549 into. Or another way of thinking about that is, well, what is 549 divided into groups of 60. This is how many hours we're going to have. So let's do that. Let's take 549 and divide it by 60. So let's see, 6 goes into 54 9 times. So 60 is going to go into 540 9 times. We're going to have a little bit left over. So we have 9 times 60 is 540. We subtract. We have 9 left over. And now let's see, we have a little left over, so we're going to get a decimal. So let's put a decimal place right over here and let's throw some 0's over there. Let's bring down a 0. So we bring down a 0. 60 goes into 90 1 time. 1 times 60 is 60. And we subtract. We get 30. Let's bring down another 0. And so we get to 300. 60 goes into 300 5 times. 5 times 60, 6 times 6 is 30, so 5 times 60 is 300. Subtract and we are done. So you divide 549 into groups of 60. You can divide it into 9.15 groups of 60 minutes. A group of 60 minutes is an hour. So this 549 minutes is 9.15 hours. I want to make sure that we can visualize that properly. So let's actually construct what 9.15 hours looks like. So let me draw a little line here, and on the top I'll label Hours, and on the bottom I'll label Minutes. So this is 0 hours, 0 minutes. And now we have 1 hour, which is 60 minutes. Now we have 2 hours, which is 120 minutes. Then you have 3 hours, which is 180 minutes. Then you have 4 hours, which is 240 minutes. 5 hours is 300 minutes. 6 hours is 360 minutes. 7 hours, I might be running out of space, is for 420 minutes. Let me copy and paste this someplace where I have more real estate. So let me clear that. And then let me paste that someplace where I don't run into my other math that I did. All right. So then you have 8 hours is 480 minutes. And then you have 9 hours. Notice, I'm just adding 60 minutes every time. 9 hours is 540 minutes. Or another way you could think about it is, well, if each hour is 60, 9 times 60 is 540. And we don't want to go to just 540. We have another 9 left. So then we have to go another 9 minutes to go to 549. So you have 9 minutes left over. So another way of thinking about this, is that 549 is 9 hours. And then you have 9 minutes left over. And 9 minutes is what fraction of an hour? Well, 60 minutes is a whole hour. So 9 minutes is 9/60 of an hour. So you could write it this way. It's 9 and 9/60 hours. Or we could write this as an equivalent fraction. 9/60 is the same thing if we divide the numerator and the denominator by 3, is the same thing as 3/20. So we could write this as 9 and 3/20. And 3/20, well we could figure out what that is going to be. Let's see, 20 divided by 3. It's definitely going to be smaller than 1, because 3 is smaller than 20. So let's throw some 0's on here. 20 doesn't go into 3, but it does go into 30 1 time. 1 times 20 is 20. Subtract, we get a 10. Bring down a 0. 20 goes into 100 5 times. 5 times 20 is 100. And we are done. So notice, 3 over 20 is the exact same thing. So 9 and 3/20 is the exact same thing as 9 and 15/100. These are all equivalent answers.How many hours are in 549 minutes? And we can write it as a decimal or a fraction. So essentially, we're going to take 549 minutes and divide them into groups of 60. Why 60? Because we know that one hour is equal to 60 minutes. So it's essentially saying, how many groups of 60 minutes can we divide 549 into. Or another way of thinking about that is, well, what is 549 divided into groups of 60. This is how many hours we're going to have. So let's do that. Let's take 549 and divide it by 60. So let's see, 6 goes into 54 9 times. So 60 is going to go into 540 9 times. We're going to have a little bit left over. So we have 9 times 60 is 540. We subtract. We have 9 left over. And now let's see, we have a little left over, so we're going to get a decimal. So let's put a decimal place right over here and let's throw some 0's over there. Let's bring down a 0. So we bring down a 0. 60 goes into 90 1 time. 1 times 60 is 60. And we subtract. We get 30. Let's bring down another 0. And so we get to 300. 60 goes into 300 5 times. 5 times 60, 6 times 6 is 30, so 5 times 60 is 300. Subtract and we are done. So you divide 549 into groups of 60. You can divide it into 9.15 groups of 60 minutes. A group of 60 minutes is an hour. So this 549 minutes is 9.15 hours. I want to make sure that we can visualize that properly. So let's actually construct what 9.15 hours looks like. So let me draw a little line here, and on the top I'll label Hours, and on the bottom I'll label Minutes. So this is 0 hours, 0 minutes. And now we have 1 hour, which is 60 minutes. Now we have 2 hours, which is 120 minutes. Then you have 3 hours, which is 180 minutes. Then you have 4 hours, which is 240 minutes. 5 hours is 300 minutes. 6 hours is 360 minutes. 7 hours, I might be running out of space, is for 420 minutes. Let me copy and paste this someplace where I have more real estate. So let me clear that. And then let me paste that someplace where I don't run into my other math that I did. All right. So then you have 8 hours is 480 minutes. And then you have 9 hours. Notice, I'm just adding 60 minutes every time. 9 hours is 540 minutes. Or another way you could think about it is, well, if each hour is 60, 9 times 60 is 540. And we don't want to go to just 540. We have another 9 left. So then we have to go another 9 minutes to go to 549. So you have 9 minutes left over. So another way of thinking about this, is that 549 is 9 hours. And then you have 9 minutes left over. And 9 minutes is what fraction of an hour? Well, 60 minutes is a whole hour. So 9 minutes is 9/60 of an hour. So you could write it this way. It's 9 and 9/60 hours. Or we could write this as an equivalent fraction. 9/60 is the same thing if we divide the numerator and the denominator by 3, is the same thing as 3/20. So we could write this as 9 and 3/20. And 3/20, well we could figure out what that is going to be. Let's see, 20 divided by 3. It's definitely going to be smaller than 1, because 3 is smaller than 20. So let's throw some 0's on here. 20 doesn't go into 3, but it does go into 30 1 time. 1 times 20 is 20. Subtract, we get a 10. Bring down a 0. 20 goes into 100 5 times. 5 times 20 is 100. And we are done. So notice, 3 over 20 is the exact same thing. So 9 and 3/20 is the exact same thing as 9 and 15/100. These are all equivalent answers.How many hours are in 549 minutes? And we can write it as a decimal or a fraction. So essentially, we're going to take 549 minutes and divide them into groups of 60. Why 60? Because we know that one hour is equal to 60 minutes. So it's essentially saying, how many groups of 60 minutes can we divide 549 into. Or another way of thinking about that is, well, what is 549 divided into groups of 60. This is how many hours we're going to have. So let's do that. Let's take 549 and divide it by 60. So let's see, 6 goes into 54 9 times. So 60 is going to go into 540 9 times. We're going to have a little bit left over. So we have 9 times 60 is 540. We subtract. We have 9 left over. And now let's see, we have a little left over, so we're going to get a decimal. So let's put a decimal place right over here and let's throw some 0's over there. Let's bring down a 0. So we bring down a 0. 60 goes into 90 1 time. 1 times 60 is 60. And we subtract. We get 30. Let's bring down another 0. And so we get to 300. 60 goes into 300 5 times. 5 times 60, 6 times 6 is 30, so 5 times 60 is 300. Subtract and we are done. So you divide 549 into groups of 60. You can divide it into 9.15 groups of 60 minutes. A group of 60 minutes is an hour. So this 549 minutes is 9.15 hours. I want to make sure that we can visualize that properly. So let's actually construct what 9.15 hours looks like. So let me draw a little line here, and on the top I'll label Hours, and on the bottom I'll label Minutes. So this is 0 hours, 0 minutes. And now we have 1 hour, which is 60 minutes. Now we have 2 hours, which is 120 minutes. Then you have 3 hours, which is 180 minutes. Then you have 4 hours, which is 240 minutes. 5 hours is 300 minutes. 6 hours is 360 minutes. 7 hours, I might be running out of space, is for 420 minutes. Let me copy and paste this someplace where I have more real estate. So let me clear that. And then let me paste that someplace where I don't run into my other math that I did. All right. So then you have 8 hours is 480 minutes. And then you have 9 hours. Notice, I'm just adding 60 minutes every time. 9 hours is 540 minutes. Or another way you could think about it is, well, if each hour is 60, 9 times 60 is 540. And we don't want to go to just 540. We have another 9 left. So then we have to go another 9 minutes to go to 549. So you have 9 minutes left over. So another way of thinking about this, is that 549 is 9 hours. And then you have 9 minutes left over. And 9 minutes is what fraction of an hour? Well, 60 minutes is a whole hour. So 9 minutes is 9/60 of an hour. So you could write it this way. It's 9 and 9/60 hours. Or we could write this as an equivalent fraction. 9/60 is the same thing if we divide the numerator and the denominator by 3, is the same thing as 3/20. So we could write this as 9 and 3/20. And 3/20, well we could figure out what that is going to be. Let's see, 20 divided by 3. It's definitely going to be smaller than 1, because 3 is smaller than 20. So let's throw some 0's on here. 20 doesn't go into 3, but it does go into 30 1 time. 1 times 20 is 20. Subtract, we get a 10. Bring down a 0. 20 goes into 100 5 times. 5 times 20 is 100. And we are done. So notice, 3 over 20 is the exact same thing. So 9 and 3/20 is the exact same thing as 9 and 15/100. These are all equivalent answers.How many hours are in 549 minutes? And we can write it as a decima(2 votes)
- Put right he should na ie why is
NSW police officer Lee so is well known, have her email address and phone number of people like me and the rest of your life partner uh The World Bank group is meeting me today about it I can be found on the phone number of the most recent reviews for Dr. David and he said the only way I see that IIda(2 votes)
Video transcript
- [Instructor] Alright,
now let's get some practice estimating, subtracting decimals. So, over here it says 12.93 minus 6.1 is approximately equal to what? This squiggly-looking equal sign you can view as roughly equal
to or approximately equal to. So, pause this video and see
if you can figure it out. And, you shouldn't
really need paper for it. The whole point of estimation is to be able to do it quickly
and get close to the answer. You don't have to get the exact answer. Well, let's think about it. The way my brain would do it is 12.93-- Let's just round each of them to the nearest whole number. So, this is going to
be approximately 12.93 if I round to the nearest one or to the nearest whole number, I'm gonna round up to 13. And 6.1, if I round to
the nearest whole number, I'm gonna round down to six. So, I could say this
is roughly 13 minus six which is equal to seven, and that is indeed one
of the choices there. And, when you're doing estimation, you might have gotten a
slightly different result, but I'm guessing that the way that this question was set up, that if you do any type
of reasonable estimate, that you're going to have a number that is closer to seven than
any of the other choices. And to be clear, sometimes you
could do this in your head. For example, 12.93 minus 6.1, you could say 12 minus
six is going to be six. And then you have 93 hundredths minus, you could do this as 10 hundredths. So, it's gonna be 93
hundredths minus 10 hundredths is 83 hundredths, plus .83. So, just like that, you could do something like this and say, alright, the answer here
is gonna be 6.83 exactly. And that, once again, is
approximately equal to seven. But, the whole point of this exercise is to get comfortable estimating things because a lot of times in life you don't need the exact answer. You just need a rough answer, just to know the ball park
of what you're talking about. Let's do another example. So here, we are asked what is 56.75 minus 46.9 approximately equal to? Once again, pause this video
and try to work it out. Well, here I'm gonna do the same thing. I'm just gonna round each
to the nearest whole number and then subtract. And, I'm gonna write it out, but you could do this in your head. So 56.75 rounded to the
nearest whole number is 57 round up, minus 46.9, I would also round up to 47. And, in our head this is
pretty straightforward. This is going to be equal to ten. And, that is indeed is one of the choices. And, normally in life
when you're estimating, you don't have choices like this. I guess this is just the easiest way for-- This if off of the Khan Academy exercises. So, for someone to be able to grade it because estimations can be different, so you have to pick
the one that's at least closest to what you came
up as your estimate. Now, let's do one more example. And, I will write in purple. Alright. So, pause the video again. See if you can figure this out. Alright, so 49.7, I'm
gonna round up to 50, 4.16 I'm gonna round down to four. So, that's going to be
approximately equal to 30-- Oh sorry, that's gonna be
approximately equal to 46. And, we do indeed see
46 as one of the choices right over there. So, hopefully you feel comfortable. There's nothing fancy going on here. The whole point of this
is to just get comfortable doing things like this in
your head and estimating and rounding numbers so you
can get a ball park sense of what this difference is going to be.