# RATL 1 | Lesson 1 | Try This! (Adding and Subtracting Fractions with Number Lines)

## Adding and Subtracting Fractions with Number Lines

Number lines can be used to find equivalent fractions of the same denominator for two fractions with unlike denominators such as  $$\Large \frac{2}{3}$$ and $$\Large \frac{1}{4}$$.

The picture below illustrates $$\Large \frac{3}{8}+\frac{1}{3}$$. The common denominator for $$8$$ and $$3$$ is $$24$$. The green tick marks divide the whole into $$24$$ths.

The bottom number line shows the addition of the two fractions with the whole divided into $$24$$ths.

$\Large \frac{3}{8}+\frac{1}{3}=\frac{17}{24}$

1.  How many number lines were used? Why?

2. How were the number lines partitioned?

3. Use multiple number lines to add: $$\Large \frac{1}{3}+\frac{1}{6}$$

4. Show how the same number line strategy will work to subtract: $$\Large \frac{3}{8}-\frac{1}{3}$$

Check solutions here.