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 25

Download Worksheet for Common Core Grade 4, Module 5, Lesson 25

Lesson 25 Concept Development

Problem 1: Model with a number line to convert a mixed number into a fraction greater than 1.

Problem 2: Use multiplication to convert a mixed number to a fraction.

Problem 3: Use mental math to convert a mixed number into a fraction greater than 1.

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Lesson 25 Problem Set

1. Convert each mixed number to a fraction greater than 1. Draw a number line to model your work.
   
   
2. Convert each mixed number to a fraction greater than 1. Show your work as in the example.
   
   
3. Convert each mixed number to a fraction greater than 1.
   

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Lesson 25 Homework

1. Convert each mixed number to a fraction greater than 1. Draw a number line to model your work.
   a. 3 1/4
   b. 4 2/3
   c. 5 3/8
   d. 3 7/10
   e. 6 2/9
   
   
2. Convert each mixed number to a fraction greater than 1. Show your work as in the example.
   a. 3 3/4
   b. 5 2/3
   c. 4 1/5
   d. 3 7/8
   
   
3. Convert each mixed number to a fraction greater than 1.
   a. 2 1/3
   b. 2 3/4
   c. 3 2/5
   d. 3 1/6
   e. 4 5/12
   f. 4 2/5
   g. 4 1/10
   h. 5 1/5
   i. 5 5/6
   j. 6 1/4
   k. 7 1/2
   l. 7 11/12
   

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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.

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