Find common units to compare two Fractions

Examples, solutions, and videos to help Grade 4 students learn how to find common units or number of units to compare two fractions.

Common Core Standards: 4.NF.2

NYS Common Core Grade 4 Module 5, Lesson 15

Worksheets for Grade 4

Lesson 15 Concept Development

Problem 1: Reason to compare fractions between 1 and 2.
Problem 2: Reason about the size of fractions as compared to 1 1/2.
Problem 3: Reason using benchmarks to compare two fractions.

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Lesson 15 Problem Set

1. Draw an area model for each pair of fractions, and use it to compare the two fractions by writing a >, <, or = symbol on the line. The first two have been partly done for you. Each rectangle represents one whole.
   a. 1/2 _____ 2/3
   b. 4/5 _____ 3/4
   c. 2/5 _____ 4/7
   d. 3/7 _____ 2/6
   e. 5/8 _____ 6/9
   f. 2/3 _____ 3/4
2. Rename the fractions, as needed, using multiplication in order to compare the two fractions in each pair by writing a >, <, or =.
   a. 3/5 _____ 5/6
   b. 2/6 _____ 3/8
   c. 7/5 _____ 10/8
   d. 4/3 _____ 6/5
3. Use any method to compare the fractions. Record your answer using >, <, or =.
   a. 3/4 _____ 7/8
   b. 6/8 _____ 3/5
   c. 6/4 _____ 8/6
   d. 8/5 _____ 9/6
4. Explain two ways you have learned to compare fractions. Provide evidence using words, pictures, and numbers.

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Lesson 15 Homework

1. Draw an area model for each pair of fractions, and use it to compare the two fractions by writing a >, <, or &eq; symbol on the line. The first two have been partly done for you. Each rectangle represents one whole.
   a. 1/2 _____ 3/5
   b. 2/3 _____ 3/4
   c. 4/6 _____ 5/8
   d. 2/7 _____ 3/5
   e. 4/6 _____ 6/9
   f. 4/5 _____ 5/6
2. Rename the fractions as needed using multiplication in order to compare the two fractions in each pair by writing a >, <, or &eq;.
   a. 2/3 _____ 2/4
   b. 4/7 _____ 1/2
   c. 5/4 _____ 9/8
   d. 8/12 _____ 5/9
3. Use any method to compare the fractions. Record your answer using >, <, or =.
   a. 8/9 _____ 2/3
   b. 4/7 _____ 4/5
   c. 3/2 _____ 9/6
   d. 11/7 _____ 5/3
4. Explain which method you prefer to compare fractions. Provide an example using words, pictures, and numbers.

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