Decompose Fractions using Tape Diagrams


Related Topics:
Lesson Plans and Worksheets for Grade 4
Lesson Plans and Worksheets for all Grades
More Lessons for Grade 4
Common Core For Grade 4




Share this page to Google Classroom

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

Worksheets for Grade 4

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.

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.
Decomposing Fractions
 

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



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


Try out our new and fun Fraction Concoction Game.

Add and subtract fractions to make exciting fraction concoctions following a recipe. There are four levels of difficulty: Easy, medium, hard and insane. Practice the basics of fraction addition and subtraction or challenge yourself with the insane level.

Fraction Concoction Game



We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.