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### Course: Arithmetic>Unit 4

Lesson 5: Equivalent fractions

# Equivalent fraction visually

Sal uses number lines and fraction models to show equivalent fractions. Created by Sal Khan.

## Want to join the conversation?

• So would it be as if we were just cutting them to look just like each other to see if each of them are the same.
(28 votes)
• Absolutely! That's a great way to think about equivalent fractions. It's like taking a pizza and cutting it into different numbers of slices. No matter if you cut it into 2, 4, or 8 slices, if you eat half the pizza, you're still eating the same amount. It's just that the size of the slices changes.
(7 votes)
• This video didn't really make sense to me can anyone help me understand it a little more? 😅😅😅
(22 votes)
• Hey! So basically you just need to remember that it does not matter what parts of the circle you shade in as long as it is the same amount and that it is the same size of slices, and that to simplify a fraction find a number that you can divide the bottom and the ton by and then divide the top and bottom by that SAME number. Do not make decimals on fractions until you get to Algebra I. And really, not even then.
(19 votes)
• i know you explained that 1/5 is equal to 2/10, but since 4/5 of the first circle are shaded in does that mean that the first "pie" could represent 4/5 as well as 1/5?
(11 votes)
• Yes it could, depending on which way you see it.If the unshaded part represents how much you ate, the shaded part may represent how much you had left.While the values would of course be different, the pie could represent either the shaded or the unshaded part depending on what you want it to represent.
(8 votes)
• What does equivalent mean
(8 votes)
• It means the SAME. For example, 1/2 is equivalent to 4/8 or 10/20, or 50/100 :-) All of those can be made smaller (1/2) and look the same when you color them.

Equivalent= the same
(11 votes)
• how would you find the equivelant to something like a fraction
(8 votes)
• To find an equivalent fraction, you can multiply or divide the numerator and denominator by the same number.

For example, if you have the fraction 1/2, you can multiply the numerator and denominator by 2 to get 2/4. This is an equivalent fraction to 1/2.
(0 votes)
• How is 1/2 bigger than 2/4?
(0 votes)
• 1/2 is not bigger than 2/4. Say you had two bars of equal length. You cut one into two pieces and the other into four if you shaded in one of the pieces of the bar split in two, and you shaded two pieces of the bar split in to four, you would have shaded in the same amount, making them equal.

Another way is to simplify 2/4. Since the numerater (2, the number on top) and denominater (4, the number on the bottom) can both be divided by the number 2, you could divide the number on top and the number on the bottom by 2, you would get 1/2.

So, 1/2 is equal to 2/4. I know the explanation might be a bit complex, but over time, things well get easier.

Thank you!
(4 votes)
• Brady's baby rabbit drinks less than 1/2 pint of water a day. which amount is less than 1/2?
4/8 4/7,2/3.3/16
How do you solve this problem?
(1 vote)
• 4/8 4 is half of 8, so it's equal to 1/2
4/7 4 is more than half of 7, so it's more than 1/2
2/3 2 is more than half of 3, it's more than 1/2
3/16 3 is less then half of 16, so it's less than 1/2
Half of 16 is 8, and 3 is less than 8.
(1 vote)
• Who made Khan Academy
(1 vote)
• Sal Khan
(2 votes)
• I did not understand This video
(1 vote)
• why tho?
(1 vote)
• I don't get it so much... Can anyone help me?
(1 vote)

## Video transcript

So what I want you to do is pause this video and think about what fraction the red part represents in each of these shapes. Or what fraction of the whole does the red part represent? And I also want to plot it out on a number line, to plot that fraction as a number on a number line. So let's go through each of these. So in this pie right over here, we have 1, 2, 3, 4, 5 equal sections. And 1 of those 5 equal sections is shaded in. So we could say that 1/5 of this pie is shaded in. Now over here, we have 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 equal sections, and 2 of them are shaded in. So we could say that 2/10 are shaded in. And then, finally, right over here, once again, we have 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 equal sections, and 2 of them are shaded in red. So in this situation, the red slices represent 2/10 of the whole. And if we were to try to plot this on a number line, so right over here, we do a quick one right over here. Let me do it like this. Let me make a big number line here. And let's take the section between 0 and 1, that's what we want to focus on, and I'm going to divide it into 5 equal sections. So 1, 2, 3, 4, 5 equal sections and then that gets us to 1. So this right over here, 1/5, that would be 1 out of the 5 equal sections. So that would get us right over there. So this would be 1/5. Now, what I want to do, let me copy and paste this same number line since I've already drawn it. So copy and paste it. So let me put it right over here. But now, I'm going to divide it into 10 equal sections. Let's see. Let me divide it into 10 equal sections on the top one. So 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. So I've divided it into 10 equal sections. And I want to figure out where 2/10 goes. So I'm going to go 2 of those equal sections, so 1, 2. So once again, I've got to that exact same point. So this 1/5 I could also represent as 2/10. So I could represent this as 2/10, this point right over here. And you might be saying, hey, wait, but that means that those are the same number. They're the exact same point on the number line. And if you said that, you would be absolutely correct. 1/5 is equal to 2/10. They represent the exact same number. And it makes sense even when you visually look at them as a fraction of these pies. Here going from this slice to this slice, if you were just divide all of these slices into 2, you see that you have the exact same fraction shaded in as this one right over here. They've become identical. I didn't shade in anything else. I haven't taken any of the red away. I haven't any of the red. I just divided all of those pieces of pie into 2. And so you see that the exact same part of the whole pie is shaded in. And here it's not quite as obvious, but if you imagine taking this, dividing it into 2 and then splitting them up so that they look like this, you still have the same part of the circle shaded in red. So it makes complete sense that they represent the same number on the number line. That this number right over here, it's not only 1/5, it also is 2/10. 1/5 is equal to 2/10.