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 14

Worksheets for Grade 4

Lesson 14 Concept Development

Problem 1: Reason about fraction size using unit language.
Problem 2: Compare fractions with related numerators.
Problem 3: Compare fractions having related denominators where one denominator is a factor of the other.

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Lesson 14 Problem Set 1

1. Compare the pairs of fractions by reasoning about the size of the units. Use >, <, or =.
   a. 1 fourth _____ 1 fifth
   b. 3 fourths _____ 3 fifths
   c. 1 tenth _____ 1 twelfth
   d. 7 tenths _____ 7 twelfths
2. Compare by reasoning about the following pairs of fractions with the same or related numerators. Use >, <, or =. Explain your thinking using words, pictures, or numbers. Problem 2(b) has been done for you.
   a. 3/5 ____ 3/4
   b. 2/5 < 4/9
   c. 7/11 ___ 7/13
   d. 6/7 ___ 12/15
3. Draw two tape diagrams to model each pair of the following fractions with related denominators. Use >, <, or = to compare.
   a. 2/3 ___ 5/6
   b. 3/4 ___ 7/8
   c. 1 3/4 ___ 1 7/12
4. Draw one number line to model each pair of fractions with related denominators. Use >, <, or = to compare.
   a. 2/3 ___ 5/6
   b. 3/8 ___ 1/4
   c. 2/6 ___ 5/12
   d. 8/9 ___ 2/3
5. Compare each pair of fractions using >, <, or =. Draw a model if you choose to.
6. Timmy drew the picture to the right and claimed that 2/3 is less than 7/12. Evan says he thinks 2/3 is greater than 7/12. Who is correct? Support your answer with a picture.

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Lesson 14 Homework

1. Compare the pairs of fractions by reasoning about the size of the units. Use >, <, or =.
   a. 1 third _____ 1 sixth
   b. 2 halves _____ 2 thirds
   c. 2 fourths _____ 2 sixths
   d. 5 eighths _____ 5 tenths
2. Compare by reasoning about the following pairs of fractions with the same or related numerators. Use >, <, or =. Explain your thinking using words, pictures, or numbers. Problem 2(b) has been done for you.
   a. 3/6 ____ 3/7
   b. 2/5 < 4/9
   c. 3/11 ___ 3/13
   d. 5/7 ___ 10/13
3. Draw two tape diagrams to model each pair of the following fractions with related denominators. Use >, <, or = to compare.
   a. 3/4 ___ 7/12
   b. 2/4 ___ 1/8
   c. 1 4/10 ___ 1 3/5
4. Draw one number line to model each pair of fractions with related denominators. Use >, <, or = to compare.
   a. 3/4 ___ 5/8
   b. 11/12 ___ 3/4
   c. 4/5 ___ 7/10
   d. 8/9 ___ 2/3
5. Compare each pair of fractions using >, <, or =. Draw a model if you choose to.
6. Simon claims 4/9 is greater than 1/3. Ted thinks 4/9 is less than 1/3. Who is correct? Support your answer with a picture.

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