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CCSS.Math:

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 1 hour 1 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 divided it by and divide it by 60 so 6 let's see 6 goes into 54 nine times so 60 is going to go to 549 times we're gonna have a little bit left over so we have 9 9 times 60 is 540 we subtract we have 9 left over I'll bring down the let's see 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 zeroes or there let's bring down a zero so we bring down a zero 60 goes into 90 one time one times 60 is 60 and we subtract we get 30 let's bring down another zero and so we get to 360 goes into 300 five times five times 60 5 times 6 is 30 so five 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 visualize that properly so let's 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 on the bottom I'll label minutes so this is 0 hours 0 minutes and now we have one hour which is 60 minutes now we have two hours which is 120 minutes then you have three hours which is 180 minutes then you have four hours which is 240 minutes five hours is 300 minutes six hours is 360 minutes seven hours I might be running out of space is 420 minutes let me copy and paste this in place 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 eight hours is 480 minutes and then you have nine hours notice I'm just adding 60 minutes every time nine hours is 540 minutes or another way you could think about it is well if each hour 69 times 60 is 540 and we don't want to go to just 540 we have another nine left so then we have to go we have to go another we have to go another nine minutes to go to 549 so your little nine minutes left over so another way of thinking about this is that 549 is nine hours and then you have nine minutes left over and nine minutes is what what is what fraction of an hour well sixty minutes is a whole hour so nine minutes is 960 it's is 960 it's of an hour so you could write it this way it's 9:00 and 960 it's hours or we could write this as an equivalent fraction 9 over 60 is the same thing if we divide the numerator and the denominator by 3 is the same thing as 3 twentieths so we could write this as 9 + 3 twentieths + 3 twentieths + 3 / 20 well we could figure out what that is going to be see 20/3 it's definitely going to be smaller than 1 because 3 is smaller than 20 so let's throw some zeroes on here 20 doesn't go into 3 but it does go into 30 one time times 20 is 20 subtract get a 10 bring down to 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 + 3 20 it is the exact same thing as 9 and 15 hundredths nine and fifteen hundreds these are all equivalent answers