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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 numerator

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

## Want to join the conversation?

- So , the larger the denominator gets , the smaller the parts get . Right ?(35 votes)
- That's correct! Imagine an apple pie.

1/2 of the apple pie is a much larger slice than 1/10 of the apple pie which is just a sliver.(31 votes)

- how can you use a fracion by drawing a piture(7 votes)
- Ooh! This is fun. Okay, let's say I want to draw 3/4... So your first step is to pick a shape that represents the object well, if it is an object... and not just a plain fraction (if it is just a plain fraction, I recommended a rectangle). So... if I am representing 3/4 of a cake... I should choose a circle! Okay... now divide the circle into four equal parts because the denominator (bottom) is four! Now, because the upper part is 3, you shade in 3 parts! Now you have 3/4! (Note: if you are dividing a circle, do not draw lines in the same direction. draw lines so that they all cut the circle at a different angle (starting and ending at different parts of the circle, not just a ton of lines in the same direction but with different placements horizontally) equally.(27 votes)

- how is 5/6 bigger?(8 votes)
- Think of two pizzas of the same size.

The first pizza is cut into 6 equal slices.

The second pizza is cut into 8 equal slices.

So the first pizza has bigger slices than the second pizza. This is because the first pizza is cut into fewer slices.

So 5 slices from the first pizza is more pizza than 5 slices from the second pizza.

So 5/6 is bigger than 5/8.(11 votes)

- Does two halves equal a hole(8 votes)
- Yes. 2 halves are a whole.

2/2 = 1(5 votes)

- bruh why just why?(4 votes)
- Why is it not SAL KHAN and instead LINDSAY SPEARS!(5 votes)
- i am dizzy i dont know what she is saying(3 votes)
- who is Lindsay the woman who is teaching us(4 votes)
- can we also compare 1/10000 and 1,05000?(2 votes)
- i learned a lot(2 votes)

## Video transcript

- [Voiceover] Let's compare 5/6 and 5/8. Let's think about what they mean. 5/6 means five out of six pieces. If you have a whole,
let's say a whole cake and you cut it into six pieces, 5/6 is five of those six pieces. 5/8 again is five pieces. That's something that's the same. We're both talking about five pieces, but this time, we've split our cake into eight pieces, so it's
five out of eight pieces. We can represent that by drawing it. Maybe we can draw, here is one whole. And then another one. So these are two equal wholes, and on one of them, we can shade 5/6 and the other 5/8. That way we can look and compare them. So for 5/6, if we divide this whole, and we were using the example of cake, into six equal-size pieces, not sure if those are perfect, but let's say those are
six equal-size pieces, 5/6 is talking about five of those pieces. So one, two, three, four, five. This image represents 5/6. Now for 5/8, let's think
about it for a second. Will the pieces in 5/8 be bigger or smaller than 5/6? Are eighths bigger or smaller than sixths? Well, we can draw and see. If we have the same size whole, which we need to have the same size whole, and we draw and we split it
into eight pieces this time, so now we have fourths, and eighths, these pieces, these eighths, 1/8 is smaller than a sixth 'cause this time we had to split the cake between eight people, so
we got smaller pieces. Now again we can shade five of them. Seems like five pieces might be equal to five pieces, but we can look and see. Four, five, and now we can look and see the 5/6 takes up more
space, takes up more area, this is a larger amount,
and the reason is because each sixth, each piece is larger. So five larger pieces is more
than five smaller pieces, or is greater than, and
remember with our symbol, the open side, the larger side, should be facing our larger number. So 5/6 is greater than 5/8. Here's one more, but this time, let's try to compare them without drawing, let's just think about what these mean. 2/5 means two pieces out of five. So one whole was split five ways and we got two of the pieces. 2/3 means that same whole
was split three ways and we got two of the pieces. Well which two pieces are larger? The 2/3 are larger, 'cause if we only have to split our pieces three ways, we can have larger pieces. So the 2/5 are smaller. These two smaller pieces are less... These two smaller pieces are less than the two larger pieces, and again, the open end of our
symbol should be facing the larger number. So 2/5 is less than 2/3.