Unit 2: Equivalent Fractions

Unit 2 Review

  1. Find all the factors for each number. If a number is a prime number, write “prime” next to it.
    1. 4                                                                                      
    2. 10                                                                                    
    3. 21                                                                                    
    4. 6                                                                                     
    5. 2                                                                                     
    6. 16                                                                                   
  2. Find the factors, common factors and the Greatest Common Factor (GCF).
    Factors Activity
    Factors Common Factors GCF
    [latex]\dfrac{2}{8}[/latex]
    [latex]\dfrac{8}{16}[/latex]
    [latex]\dfrac{24}{32}[/latex]
    [latex]\dfrac{9}{12}[/latex]
    [latex]\dfrac{5}{15}[/latex]
    [latex]\dfrac{25}{30}[/latex]
    [latex]\dfrac{4}{12}[/latex]
  3. Express each fraction in lowest terms. Remember: be sure to write the greatest common factor (GCF) you are dividing with.
    1. [latex]\dfrac{6}{9}[/latex] =
    2. [latex]\dfrac{6}{18}[/latex] =
    3. [latex]\dfrac{12}{28}[/latex] =
    4. [latex]\dfrac{15}{30}[/latex] =
    5. [latex]\dfrac{4}{24}[/latex] =
    6. [latex]\dfrac{10}{18}[/latex] =
  4. Circle the fractions that are in lowest terms.
    1. [latex]\dfrac{1}{2}[/latex]
    2. [latex]\dfrac{3}{6}[/latex]
    3. [latex]\dfrac{4}{5}[/latex]
    4. [latex]\dfrac{3}{9}[/latex]
    5. [latex]\dfrac{4}{8}[/latex]
    6. [latex]\dfrac{5}{10}[/latex]
  5. Find all the fractions that are not already in lowest terms and reduce them. Write “lowest terms” next to those already reduced.
    1. [latex]\dfrac{4}{8}[/latex] =
    2. [latex]\dfrac{2}{5}[/latex] =
    3. [latex]\dfrac{8}{12}[/latex] =
    4. [latex]\dfrac{15}{35}[/latex] =
    5. [latex]\dfrac{42}{80}[/latex] =
    6. [latex]\dfrac{6}{36}[/latex] =
    7. [latex]\dfrac{9}{15}[/latex] =
  6. State if each pair of fractions is equivalent (=) or not equivalent (≠).
    1. [latex]\dfrac{4}{5}[/latex]                    [latex]\dfrac{7}{8}[/latex]
    2. [latex]\dfrac{10}{12}[/latex]                    [latex]\dfrac{5}{6}[/latex]
    3. [latex]\dfrac{5}{15}[/latex]                   [latex]\dfrac{1}{3}[/latex]
    4. [latex]\dfrac{6}{7}[/latex]                    [latex]\dfrac{36}{41}[/latex]
    5. [latex]\dfrac{3}{5}[/latex]                    [latex]\dfrac{15}{25}[/latex]
  7. Round to the nearest whole number
    1. [latex]1\dfrac{1}{4}[/latex] =
    2. [latex]4\dfrac{3}{4}[/latex] =
    3. [latex]6\dfrac{4}{5}[/latex] =
    4. [latex]3\dfrac{1}{4}[/latex] =
    5. [latex]12\dfrac{8}{9}[/latex] =

Answers to Unit 2 Review

  1. Find all the factors for each number, some of the numbers are prime numbers, write “prime” next to it.
    1. 1,2,4
    2. 1,2,5,10
    3. 1,3,7,21
    4. 1,2,3,6
    5. 1,2, prime
    6. 1,2,4,8,16
  2. Find the factors, common factors and the Greatest Common Factor (GCF).

    Greatest Common Factors (GCF)
    Factors Common Factors GCF
    [latex]\dfrac{2}{8}[/latex] 1,2

    1,2,4,8

    1,2 2
    [latex]\dfrac{8}{16}[/latex] 1,2,4,8

    1,2,4,8,16

    2,4,8 8
    [latex]\dfrac{24}{32}[/latex] 1,2,3,4,6,8,12,24

    1,2,4,8,16,32

    2,4,8 8
    [latex]\dfrac{9}{12}[/latex] 1,3,9

    1,2,3,4,6,12

    3 3
    [latex]\dfrac{5}{15}[/latex] 1,5

    1,3,5,15

    5 5
    [latex]\dfrac{25}{30}[/latex] 1,5,25

    1,2,3,5,6,10,15,30

    5 5
    [latex]\dfrac{4}{12}[/latex] 1,2,4

    1,2,3,4,6,12

    24 4
  3. Express each fraction in lowest terms.  Remember:  be sure to write the GCF you are dividing with.
    1. [latex]\dfrac{2}{3}[/latex]
    2. [latex]\dfrac{1}{3}[/latex]
    3. [latex]\dfrac{3}{7}[/latex]
    4. [latex]\dfrac{1}{2}[/latex]
    5. [latex]\dfrac{1}{6}[/latex]
    6. [latex]\dfrac{7}{8}[/latex]
    7. [latex]\dfrac{5}{9}[/latex]
  4. Circle the fractions that are in lowest terms.
    1. [latex]\dfrac{1}{2}[/latex]
    2. [latex]\dfrac{4}{5}[/latex]
  5. Find all the fractions that are not already in lowest terms and reduce them. Write “lowest terms” next to those already reduced.
    1. [latex]\dfrac{1}{2}[/latex]
    2. lowest terms
    3. [latex]\dfrac{2}{3}[/latex]
    4. lowest terms
    5. [latex]\dfrac{(3)}{(7)}[/latex]
    6. [latex]\dfrac{21}{40}[/latex]
    7. [latex]\dfrac{1}{6}[/latex]
    8. [latex]\dfrac{3}{5}[/latex]
  6. State if each pair of fractions is equivalent (=) or not equivalent (≠).
    1. =
    2. =
    3. =
  7. Round to the nearest whole number.
    1. 1
    2. 5
    3. 7
    4. 3
    5. 13

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Adult Literacy Fundamental Mathematics: Book 5 - 2nd Edition by Liz Girard; Wendy Tagami; and Leanne Caillier-Smith is licensed under a Creative Commons Attribution 4.0 International License, except where otherwise noted.

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