# Lesson 7 Fractions as Sums

• Let’s write fractions as sums.

## Warm-up Choral Count: Three-fourths at a Time

• Count by , starting at .

## Activity 1 Barley Soup

Lin is learning to make barley soup using a family recipe. Here are some ingredients in the recipe:

• cup of barley

• cups of chopped celery

• cups of chopped carrots

• 1 cup of chopped onions

• cups of vegetable broth

1. Lin has only one measuring cup that measures cup. Show how Lin could use the cup to measure the right amount of each ingredient.

• Barley:

• Celery:

• Carrots:

• Onions:

• Vegetable broth:

2. Lin later found a -cup measuring cup. Show how she could use the cups to measure the right amount of each ingredient.

• Barley:

• Celery:

• Carrots:

• Onions:

• Vegetable broth:

## Activity 2 Sums in Fifths and Thirds

1. Use different combinations of fifths to make a sum of .

2. Write different ways to use thirds to make a sum of . How many can you think of? Write an equation for each combination.

3. Is it possible to write any fraction with a denominator of 5 as a sum of other fifths? Explain or show your reasoning.

## Problem 1

1. Write in as many ways as you can as a sum of fractions.

2. Write in at least 3 different ways as a sum of fractions.