# 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

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:

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

Use different combinations of fifths to make a sum of

. Write different ways to use thirds to make a sum of

. How many can you think of? Write an equation for each combination. Is it possible to write any fraction with a denominator of 5 as a sum of other fifths? Explain or show your reasoning.

## Practice Problem

## Problem 1

Write

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

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