# 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

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Lessons for Grade 4

Common Core For Grade 4

## 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