Decompose Fractions using Tape Diagrams

Examples, solutions, and videos to help Grade 4 students learn how to decompose fractions as a sum of 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 2

Download Worksheet for Common Core Grade 4, Module 5, Lesson 2

Lesson 2 Concept Development

Problem 1: Use a number bond to show how 1 can be decomposed into fourths and how fourths can be composed to make 1.
Problem 2: Fold a piece of paper to create eighths. Decompose fractions of the whole in different ways.
Problem 3: Write number sentences to decompose as a sum of unit fractions.

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The following diagram shows how to decompose fractions as a sum of fractions using tape diagrams. Scroll down the page for more examples and solutions.

 

Lesson 2 Problem Set
Decompose fractions as a sum of unit fractions using tape diagrams.

1. Step 1: Draw and shade a tape diagram of the given fraction.
   Step 2: Record the decomposition as a sum of unit fractions.
   Step 3: Record the decomposition of the fraction two more ways.
   b. 9/10
   c. 3/2
2. Step 1: Draw and shade a tape diagram of the given fraction.
   Step 2: Record the decomposition of the fraction in three different ways using number sentences.
   a. 7/8
   b. 5/3
   c. 7/5
   d. 1 1/3

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Lesson 2 Homework

1. Step 1: Draw and shade a tape diagram of the given fraction.
   Step 2: Record the decomposition as a sum of unit fractions.
   Step 3: Record the decomposition of the fraction two more ways.
   b. 6/8
   c. 7/10
2. Step 1: Draw and shade a tape diagram of the given fraction.
   Step 2: Record the decomposition of the fraction in three different ways using number sentences.
   a. 10/12
   b. 5/4
   c. 6/5
   d. 1 1/4

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