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.

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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.

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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

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