# Equivalent fractions review

Review equivalent fractions with multiplication, and try some practice problems.

## Equivalent fractions

Fractions are equivalent if they are equal or represent the same amount.

## Finding equivalent fractions using multiplication

Let's look at an example.
What number could replace $a$ below?
$\dfrac23=\dfrac{a}{12}$
First, we need to figure out what to multiply $3$ by to get $12$:
$\dfrac23\times\dfrac{}{4}=\dfrac{}{{12}}$
Next, we multiply the numerator by the same number as the denominator:
$\dfrac23\times\dfrac{4}{4}=\dfrac{8}{{12}}$
$\dfrac23=\dfrac{8}{{12}}$, so we can replace the $a$ with an $8$.
What number could replace $r$ below?
$\dfrac{2}{4} = \dfrac{r}{8}$