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## Arithmetic (all content)

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

Lesson 6: Equivalent fractions 1

# Visualizing equivalent fractions review

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

## Equivalent fractions

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

### Fraction model

Let's look at an example.
start fraction, 1, divided by, 2, end fraction, equals, start fraction, question mark, divided by, 8, end fraction
First, we can draw start fraction, 1, divided by, 2, end fraction.
Now, let's divide the same whole into eighths.
How can we shade the whole to show a fraction that is equivalent to start fraction, 1, divided by, 2, end fraction?
We shaded 4 of the 8 sections.
So, start fraction, 1, divided by, 2, end fraction, equals, start fraction, 4, divided by, 8, end fraction.

### Number line

Let's visualize another equivalent fraction using a number line.
start fraction, 3, divided by, 5, end fraction, equals, start fraction, question mark, divided by, 10, end fraction
Numbers are equivalent when they are located at the same point on the number line.
First, we can show start fraction, 3, divided by, 5, end fraction on a number line:
Now, let's divide our number line into tenths and see what fraction is located at the same point as start fraction, 3, divided by, 5, end fraction.
start fraction, 6, divided by, 10, end fraction and start fraction, 3, divided by, 5, end fraction are located at the same point on the number line.
start fraction, 3, divided by, 5, end fraction, equals, start fraction, 6, divided by, 10, end fraction