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Lesson 3: Comparing fractions with unlike denominators visually

# 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 $\frac{9}{6}$.
$\frac{5}{3}>\frac{9}{6}$
Compare the fractions with $>,<,$ or $=$.
$\frac{3}{4}$
$\frac{4}{5}$