# Lesson 8 Addition of Fractions

• Let’s explore sums of fractions on a number line.

## Warm-up Notice and Wonder: A Fraction on a Number Line

What do you notice? What do you wonder?

## Problem 1

1. On each number line, draw two “jumps” to show how to use sixths to make a sum of . Then, write an equation to represent each combination of jumps.

2. Noah draws the following diagram and writes: and . Which equation is correct? Explain your reasoning.

## Problem 2

1. On each number line, draw “jumps” to show how to use thirds to make a sum of . Then, write an equation to represent each combination of jumps.

2. Write as a sum of a whole number and a fraction.

## Problem 1

Use a number line to represent each addition expression and to find its value.

## Problem 2

Priya says the sum of and is . Kiran says the sum is . Tyler says it is . Do you agree with any of them? Explain or show your reasoning. Use one or more number lines if you find them helpful.

## Activity 3 Make Two Jumps

Here are four number lines, each with a point on it.

For each number line, label the point. This is your target. Make two forward jumps to get from 0 to the target.

• Pick a card from the set given to you. Use the fraction on it for your first jump. Draw the jump and label it with the fraction.

• From there, draw the second jump to reach the target. What fraction do you need to add? Label the jump with the fraction.

• Write an equation to represent the sum of your two fractions.