Decompose Non-Unit Fractions using Tape Diagrams


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Videos, examples, and solutions to help Grade 4 students learn how to decompose non-unit fractions and represent them as a whole number times a unit fraction 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 3

Download Worksheet for Common Core Grade 4, Module 5, Lesson 3

Lesson 3 Concept Development
Problem 1: Express a non-unit fraction less than 1 as a whole number times a unit fraction using a tape diagram.
Problem 2: Determine the non-unit fraction greater than 1 that is represented by a tape diagram, and then write the fraction as a whole number times a unit fraction.

Problem 3: Express a non-unit fraction greater than 1 as a whole number times a unit fraction using a tape diagram.

Lesson 3 Problem Set

  1. Decompose each fraction modeled by a tape diagram as a sum of unit fractions. Write the equivalent multiplication sentence.
    a to e.
  2. Write the following fractions greater than 1 as the sum of two products.
    a and b
  3. Draw a tape diagram and record the given fraction’s decomposition into unit fractions as a multiplication sentence.
    a. 4/5
    b. 5/8
    c. 7/9
    d. 7/4
    e. 7/6



Lesson 3 Homework

  1. Decompose each fraction modeled by a tape diagram as a sum of unit fractions. Write the equivalent multiplication sentence. The first one has been done for you.
    a. to d.
  2. Write the following fractions greater than 1 as the sum of two products.
    a and b
  3. Draw a tape diagram and record the given fraction’s decomposition into unit fractions as a multiplication sentence.
    a. 3/5
    b. 3/8
    c. 5/9
    d. 8/5
    e. 12/4


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