Decompose and Compose Fractions

Examples, videos, and solutions to help Grade 4 students learn how to decompose and compose fractions greater than 1 to express them in various forms.

Common Core Standards: 4.NF.1, 4.NF.2, 4.NF.3, 4.NBT.6, 4.NF.4a, 4.MD.4

NYS Common Core Grade 4 Module 5, Lesson 24

Download Worksheet for Common Core Grade 4, Module 5, Lesson 24

Lesson 24 Concept Development

Problem 1: Rename fractions as mixed numbers using decomposition.
Problem 2: Convert a fraction into a mixed number using multiplication.

• Show Step-by-step Solutions

Lesson 24 Problem Set

1. Rename each fraction as a mixed number by decomposing it into two parts as shown below. Model the decomposition with a number line and a number bond.
2. Convert each fraction to a mixed number. Show your work as in the example. Model with a number line.
3. Convert each fraction to a mixed number.

• Show Step-by-step Solutions

Lesson 24 Homework

1. Rename each fraction as a mixed number by decomposing it into two parts as shown below. Model the decomposition with a number line and a number bond.
   a. 11/3
   b. 13/4
   c. 16/5
   d. 15/2
   e. 17/3
2. Convert each fraction to a mixed number. Show your work as in the example. Model with a number line.
   a. 11/3
   b. 13/2
   c. 18/4
3. Convert each fraction to a mixed number. a. 14/3
   b. 17/4
   c. 27/5
   d. 28/6
   e. 23/7
   f. 38/8
   g. 51/9
   h. 74/10
   i. 45/12

• Show Step-by-step Solutions

• Show Step-by-step Solutions

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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