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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 $\frac{4}{6}$ and $6$ of the ninths to show $\frac{6}{9}$.
The fractions represent the same portion of the whole. So, they are equal.
$\frac{4}{6}=\frac{6}{9}$

### 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.
$\frac{5}{3}$ is located to the right of $\frac{9}{6}$ on the number line, so $\frac{5}{3}$ is greater than $\frac{9}{6}$.
$\frac{5}{3}>\frac{9}{6}$

## Practice

Problem 1
Compare the fractions with $>,<,$ or $=$.
Hint: Think about how you would fill in each rectangle below to help you compare the fractions.
$\frac{3}{4}$
$\frac{4}{5}$

Want to try more problems like this? Check out this exercise.

## 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?
• 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:

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
• Can't you just convert it into a equivalent fraction?
• 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!
(1 vote)
• what does = mean in fractions
• 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!