# Lesson 8 Equivalent Fractions on the Number Line

• Let’s use number lines to reason about equivalent fractions.

## Warm-up Estimation Exploration: A Shaded Portion

If the entire diagram represents 1 whole, about what fraction is shaded?

Make an estimate that is:

too low

too high

## Problem 1

Andre used number lines to find fractions that are equivalent to . He drew this number line:

Then, he drew three more lines and wrote a fraction for the point on each line:

How did Andre use the number lines to find fractions equivalent to ? Explain your thinking to a partner.

## Problem 2

How can number lines be used to show whether the following fractions are equivalent?

1. and

2. and

## Problem 3

Find three fractions that are equivalent to . Explain or show how Andre’s number lines can help.

## Activity 2 Can It Be Done?

1. Priya wants to find fractions that are equivalent to , other than . She wonders if she can find equivalent fractions with denominator 9, 10, and 12.

Can it be done? Use number lines to show your reasoning.