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

Lesson 3: Topic C: Foundations- Intro to adding mixed numbers
- Intro to subtracting mixed numbers
- Add and subtract mixed numbers (with regrouping)
- Comparing fractions: tape diagram
- Comparing fractions: number line
- Visually compare fractions with unlike denominators
- Visually comparing fractions review

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# Visually comparing fractions review

Review comparing fractions with fraction models and number lines, and try some practice problems.

## Comparing fractions

We can compare fractions by seeing which one takes up a greater portion of the same whole.

### Comparing fractions with fraction models

Let's look at an example.

**Compare**$\frac{4}{6}$ and $\frac{6}{9}$ with $>,<,$ or $=$ .

First, let's divide two same-sized wholes into sixths and ninths.

Next. we need to fill in $4$ of the sixths to show ${{\displaystyle \frac{4}{6}}}$ and $6$ of the ninths to show ${{\displaystyle \frac{6}{9}}}$ .

The fractions represent the same portion of the whole. So, they are equal.

*Want to learn more about comparing fractions with fraction models? Check out this video.*

### Comparing fractions with number lines

Let's look at an example.

**Compare**$\frac{5}{3}$ and $\frac{9}{6}$ with $>,<,$ or $=$ .

Let's think about where each fraction is located on the number line.

**right**of

**greater**than

*Want to learn more about comparing fractions with number lines? Check out this video.*

## Want to join the conversation?

- when it says ," Next we need to fill in 4 of the sixths to show 4/6 and 6 of the ninths show 6/9." am i the only one who doesn't understand that he/she is saying?(14 votes)
- For that your teacher is probably asking you to shade in a model. If she said that she would want you to make a bar diagram or like a circle, you'd have to divide it into the denominater's number and shade in the numerater's number.
**Example**:

1)Your teacher asks you to fill in...

2)You draw a diagram

3) You divide the diagram into the denominater's number

4)You shade in the numerater's number

5)There is**NO**step 5, it is that simple(21 votes)

- Can't you just convert it into a equivalent fraction?(2 votes)
- it was realy good and i know much more about fractions in this covid 19 i´ll probably learn more than i actualy learn at school !

but i dont understand how three fourths and four fiths are not equil(1 vote)- One, good job, and I hope you keep on learning!

Two, try to draw 2 pies or get 2 real pies. For three fourths, cut the pie into 4 equal slices, take away one of them, and eat it if the pie is real. For four-fifths, cut the pie into 5 equal segments, and take away one, and potentially eat it. Compare the pies, and you should see that four-fifths is bigger than three fourths. I hope that you can get your mom to buy you some pie!(2 votes)

- I made 4/6 of the Burj khalifa my friend made 1/6 of the Burj khalifa. Who made made more progress(1 vote)
- what does = mean in fractions(0 votes)
- For any numbers, including whole numbers, integers, fractions, decimals, irrational numbers, etc., the = symbol goes between expressions with the same value.

Have a blessed, wonderful day!(3 votes)

- 100 / 75 what is equal to that let me show you something for example 4/3, because four times 25 equals 100 and three times 25 equals 75(1 vote)
- I have a better way than what they say look at the example. 2/4 is equal to 4/8 because 2 times 2 equals 4 and 4 times 2=8(1 vote)
- do you play fortnite(1 vote)
- Why does it not give you like 10 practice questions to practice. Like you know I personally think that weird.(1 vote)