# 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

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.

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.

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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