Fraction Equivalence Using Division

Examples, solutions, and videos to help Grade 4 students learn how to use the area model and division to show the equivalence of two fractions.

Common Core Standards: 4.NF.1, 4.NF.3b

New York State Common Core Grade 4, Module 5, Lesson 10

Worksheets for Grade 4

The following diagram shows how to use the area model and division to show the equivalence of two fractions. Scroll down the page for more examples and solutions.

 

Lesson 10 Concept Development
Problem 1: Simplify a fraction by drawing to find a common factor, and relate to division.
Problem 2: Draw an area model of a number sentence that shows the simplification of a fraction.

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Lesson 10 Problem Set
Each rectangle represents 1 whole.

1. Compose the shaded fraction into larger fractional units. Express the equivalent fractions in a number sentence using division. The first one has been done for you.
2. Compose the shaded fractions into larger fractional units. Express the equivalent fractions in a number sentence using division.
3. Draw an area model to represent each number sentence below.
   a. 4/10 = 2/5
   b. 6/9 = 2/3
4. Use division to rename each fraction given below. Draw a model if that helps you. See if you can use the largest common factor.
   a. 4/8
   b. 8/12
   c. 9/12
   d. 10/15

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Lesson 10 Homework
Each rectangle represents one whole.

1. Compose the shaded fraction into larger fractional units. Express the equivalent fractions in a number sentence using division. The first one has been done for you.
2. Compose the shaded fractions into larger fractional units. Express the equivalent fractions in a number sentence using division.
3. Draw an area model to represent each number sentence below.
   a. 12/16 = 3/4
   b. 6/18 = 2/6
4. Use division to rename each fraction given below. Draw a model if that helps you. See if you can use the largest common factor.
   a. 6/9
   b. 4/12
   c. 10/15
   d. 12/16

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