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### Course: 3rd grade (Eureka Math/EngageNY) > Unit 5

Lesson 6: Topic F: Comparison, order, and size of fractions- Comparing fractions with > and < symbols
- Comparing fractions visually
- Compare fractions with fraction models
- Compare fractions on the number line
- Comparing fractions with the same denominator
- Compare fractions with the same denominator
- Comparing fractions with the same numerator
- Compare fractions with the same numerator
- Compare fractions with the same numerator or denominator

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# Comparing fractions with the same denominator

Lindsay compares fractions with the same denominator. She compares one pair of fractions with visuals and another pair without visuals. Created by Lindsay Spears.

## Want to join the conversation?

- so any big number is the answer?(8 votes)
- yep, if the numerator is bigger its bigger that the one that has the same denominator but smaller numerator.(12 votes)

- 6/9vs7/8 which is biger?(1 vote)
- 7/8 is bigger than 6/9. First, you want to make the denominators the same. Multiply 8 times 9 to get 72, and what you do to the bottom you have to do to the top. Then you would do 7 times 9 which is 63 and 6 times 8 which is 48. Put them both over your new denominator. You can clearly see that 63/72 is bigger than 48/72. Hope that helped! :)(3 votes)

- i love kan acadamy(2 votes)
- i am tierd of videos(2 votes)
- which is bigger? (right is denomenator and left is the numerator.) 5/4 or 5/3?(0 votes)
- 5/3 is the larger decimal. You can model this yourself by drawing four, equal sized rectangles. You can then split two of them into four equal parts; the other two into 3 equal parts. Preferably you should place the two rectangles that are divided into four parts on a line above the two that are split into three parts. Then shade in five parts in each of the sets of triangles. You should be able to see the comparison then. Hope this helps! :)(7 votes)

- I don't understand this.

can you explain it more?(1 vote)- Sure, let's say you have a cookie. You're going to share this cookie with 4 of your friends, but you also have a pizza that needs to be cut up in fourths. So 2 of your friends eat 2 slices of pizza and 2 slices of cookie. So now you have 2 slices of cookie and 2 slices of pizza. Your friends want the bigger piece of each one. So you pull out the fraction chart and look. 2/4 is good. But then your friend takes another slice of pizza so now it's 1/4. You compare 1/4 and 2/4. The 2/4 is bigger because the numerator is bigger but the denominator is the same. I hope this helps!(1 vote)

- Why are your numbers so big(1 vote)
- What happened to the guy?(1 vote)
- how do you know what a the thing is at the begining at1:21(1 vote)
- The
**circles**are wholes, and Lindsay shades in**parts**of the whole.(0 votes)

- can i redow a questions if i thank it is not it(0 votes)
- Yes, you can. But sadly, you need to press the Redo Quiz button.:) have a good day now!(1 vote)

## Video transcript

- [Voiceover] Let's compare 2/4 and 3/4. First let's think about
what these fractions mean. 2/4 means we have some
whole, and we've split it into four equal size pieces,
and we get two of those pieces. Maybe we can think about
pizza for an example. We split a pizza into
four equal size pieces, and we ate two of them. 3/4 means that same whole, that same pizza was again split into
four equal size pieces, but this time, what's
different is we got three of the pieces. So maybe from that description,
we can start to think about which one is larger,
but let's draw them also just to be sure that we can
decide which one is larger. So for 2/4, we're gonna have a fraction, maybe it's a pizza, and
it's gonna be divided, split into four equal size pieces. These may not be perfect lines, but should represent
four equal size pieces. And we get two of those pieces. So this represents 2/4, two out of four. 3/4, again, will be the same
as the four equal size pieces, but this time, we get three of the four. So, one, two, three of the four pieces. And this will represent 3/4. Now we can look at it
visually and see very clearly that 3/4 is greater,
or takes up more space, or we can say that 2/4 is less than 3/4. Remember this is the less than symbol 'cause we always want
this open, bigger side facing our larger number. In this case, it's
facing the second number. So we'll say 2/4 is less than 3/4. Each of these fourths is the same size, so two of them is less
than three of the fourths. Here we can try one more, but this time, let's don't draw the picture. Lets' just think about what they mean and see if we can figure it out. So for 5/8, we have a whole, and it's been divided
into eight equal pieces. For 3/8, same thing, eight equal pieces. But here in 5/8, we get
five of those pieces, and in 3/8, we get three of the pieces. So the pieces are the same size. They're eighths on both side. These are eighths, and these are eighths, but here we have five of the
eights, and here we have three. So if the pieces are the same size, five pieces is greater than three pieces or 5/8 is greater than 3/8. And here our open end, our bigger side is still facing our bigger number, but our bigger number is first this time, so this is the greater than symbol. 5/8 is greater than 3/8.