# Decompose Fractions into Sums of Unit Fractions

Videos to help Grade 4 students learn how to decompose fractions into sums of smaller unit fractions using tape diagrams.

Common Core Standards: 4.NF.3b, 4.NF.4a, 4.NF.3a

## New York State common Core Grade 4 Module 5, Lesson 4

Lesson 4 Concept Development

Problem 1: Use tape diagrams to represent the decomposition of 1/3 as the sum of unit fractions.

Problem 2: Use tape diagrams to represent the decomposition of 1/5 and 2/5 as the sum of smaller unit fractions.

Problem 3: Draw a tape diagram and use addition to show that 2/6 is the sum of 4 twelfths.

Lesson 4 Problem Set 1

1. The total length of each tape diagram represents 1 whole. Decompose the shaded unit fractions as the sum of smaller unit fractions in at least two different ways.
a and b
Lesson 4 Problem Set 1

1. The total length of each tape diagram represents 1 whole. Decompose the shaded unit fractions as the sum of smaller unit fractions in at least two different ways.
c

Lesson 4 Problem Set 2

2. The total length of each tape diagram represents 1 whole. Decompose the shaded fractions as the sum of smaller unit fractions in at least two different ways.
Lesson 4 Problem Set 3

3. Draw and label tape diagrams to prove the following statements.
a. 2/5 = 4/10
b. 2/6 = 4/12
d. 3/4 = 9/12