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## Arithmetic (all content)

### Course: Arithmetic (all content)>Unit 5

Lesson 8: Equivalent fractions 2

# 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?
start fraction, 2, divided by, 3, end fraction, equals, start fraction, a, divided by, 12, end fraction
First, we need to figure out what to multiply 3 by to get 12:
start fraction, 2, divided by, 3, end fraction, times, start fraction, divided by, 4, end fraction, equals, start fraction, divided by, 12, end fraction
Next, we multiply the numerator by the same number as the denominator:
start fraction, 2, divided by, 3, end fraction, times, start fraction, 4, divided by, 4, end fraction, equals, start fraction, 8, divided by, 12, end fraction
start fraction, 2, divided by, 3, end fraction, equals, start fraction, 8, divided by, 12, end fraction, so we can replace the a with an 8.