Fractions - Grade 5 Maths Questions With Solutions

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Grade 5 maths multiple choice questions on fractions with answers are presented. Also Solutions and explanations are included.
Note that mixed numbers are written as follows: whole part followed by a proper fraction.
For example: \( 5 \dfrac{1}{2} \) is a mixed number meaning \( 5 +\dfrac{1}{2} \).
More resources on fractions are included.

Questions

  1. Write \( 1 \) as a fraction.
    1. \( \dfrac{1}{1} \) only
    2. \( \dfrac{2}{2} \) only
    3. \( \dfrac{3}{3} \) only
    4. Any fraction of the form \(\dfrac{n}{n} \) where \( n \) is a whole number
    Solution
  2. Write 5 as a reduced fraction.
    1. \( \dfrac{5}{5} \)
    2. \( \dfrac{1}{5} \)
    3. \( \dfrac{5}{1} \)
    4. \( \dfrac{1}{1} \)
    Solution
  3. \[ \dfrac{1}{4} + \dfrac{2}{4} = \]
    1. \( \dfrac{3}{4} \)
    2. \( \dfrac{3}{8} \)
    3. \( \dfrac{7}{8} \)
    4. \( 3 \)
    Solution
  4. \[ \dfrac{4}{7} - \dfrac{2}{7} = \]
    1. \( \dfrac{2}{14} \)
    2. \( \dfrac{6}{7} \)
    3. \( \dfrac{2}{7} \)
    4. \( \dfrac{4}{7} \)
    Solution
  5. \[ \dfrac{1}{5} + \dfrac{2}{3} = \]
    1. \( \dfrac{3}{8} \)
    2. \( \dfrac{2}{15} \)
    3. \( \dfrac{1}{8} \)
    4. \( \dfrac{13}{15} \)
    Solution
  6. \[ 3 \dfrac{1}{2} + 5 \dfrac{1}{3} \]
    1. \( 8 \)
    2. \( 8 \dfrac{2}{5} \)
    3. \( 8 \dfrac{5}{6} \)
    4. \( \dfrac{2}{5} \)
    Solution

  7. It takes Julia \( \dfrac{1}{2} \) hour to wash, comb her hair and put on her clothes, and \( \dfrac{1}{4} \) hour to have her breakfast. How much time does it take Julia to be ready for school?
    1. \( \dfrac{3}{4} \) hour
    2. 1 hour
    3. \( \dfrac{2}{4} \) hour
    4. 1 and \( \dfrac{1}{4} \) hours
    Solution

  8. Which two fractions are equivalent?
    1. \( \dfrac{5}{2} \) and \( \dfrac{2}{5} \)
    2. \( \dfrac{4}{3} \) and \( \dfrac{8}{6} \)
    3. \( \dfrac{1}{4} \) and \( \dfrac{2}{4} \)
    4. \( \dfrac{2}{3} \) and \( \dfrac{1}{3} \)
    Solution
  9. \[ 5 \dfrac{2}{3} - 3 \dfrac{1}{2} = \]
    1. \( 2 \)
    2. \( 1 \dfrac{2}{5} \)
    3. \( 2 \dfrac{7}{6} \)
    4. \( 2 \dfrac{1}{6} \)
    Solution

  10. Billy ate 1 and \( \dfrac{1}{4} \) of pizzas and John ate 1 and \( \dfrac{2}{3} \) pizzas. How much more pizza did John eat than Billy?
    1. \( \dfrac{2}{3} \)
    2. \( \dfrac{5}{12} \)
    3. \( \dfrac{1}{4} \)
    4. \( \dfrac{7}{12} \)
    Solution
  11. \[ \dfrac{5}{2} \div \dfrac{3}{4} \]
    1. \( \dfrac{10}{3} \)
    2. \( \dfrac{10}{8} \)
    3. \( \dfrac{13}{4} \)
    4. \( 1 \)
    Solution

  12. \[ 5 \div \dfrac{1}{7} \]
    1. \( \dfrac{5}{7} \)
    2. \( \dfrac{6}{7} \)
    3. \( \dfrac{1}{35} \)
    4. \( 35 \)
    Solution-11
  13. \[ \dfrac{2}{5} \times \dfrac{3}{7} \]
    1. \( \dfrac{14}{15} \)
    2. \( \dfrac{6}{35} \)
    3. \( \dfrac{35}{6} \)
    4. \( \dfrac{15}{14} \)
    Solution

  14. To have \( a + 1 \dfrac {3}{4} = 2 \) , \( a \) must be equal to
    1. \( 1 \)
    2. \( \dfrac{3}{4}\)
    3. \( \dfrac{1}{2} \)
    4. \( \dfrac{1}{4} \)
    Solution

  15. What fraction or mixed number is the shaded part?

    fraction, question 10.

    1. \( \dfrac{3}{4} \)
    2. \( \dfrac{6}{4} \)
    3. \( 2 \dfrac{3}{4} \)
    4. \( 1 \dfrac{3}{4} \)
    Solution

  16. True or false \[ 2 \dfrac{1}{2} = 2 \times \dfrac{1}{2} \] Solution

  17. Tina works 15 hours a week (Monday to Friday). Last week she worked 3 and 1/2 hours on Monday, 4 hours on Tuesday, 2 and 1/6 hours on Wednesday and 1 and 1/2 hours on Thursday. How many hours did she work on Friday?
    1. \( 4 \)
    2. \( \dfrac{5}{6} \)
    3. \( 3 \dfrac{5}{6} \)
    4. \( 2 \dfrac{5}{6} \)
    Solution

  18. Which point on the number line represents \( 1 \dfrac{7}{10} \)?

    fraction, question 13.

    1. s
    2. R
    3. W
    4. K
    Solution

  19. Write \( 2 \dfrac{1}{3} \) as an improper fraction.
    1. \( \dfrac{2}{3} \)
    2. \( \dfrac{7}{3} \)
    3. \( \dfrac{1}{3} \)
    4. \( \dfrac{3}{3} \)
    Solution

  20. Write the fraction \( \dfrac{31}{8} \) as a mixed number.
    1. \( 4 \)
    2. \( 4 \dfrac{7}{8} \)
    3. \( 3 \dfrac{1}{8} \)
    4. \( 3 \dfrac{7}{8} \)
    Solution

  21. \[ 3 \times \dfrac{1}{4} = \]
    1. \( 3 \dfrac{1}{4} \)
    2. \( \dfrac{1}{4} + \dfrac{1}{4} + \dfrac{1}{4} \)
    3. \( \dfrac{1}{4} \)
    4. \( 12 \)
    Solution

  22. \[ 3 \dfrac{1}{4} = \]
    1. \( 3 \times \dfrac{1}{4} \)
    2. \( \dfrac{3}{4} \)
    3. \( 3 + \dfrac{1}{4} \)
    4. \( \dfrac{4}{3} \)
    Solution

  23. True or false \[ \dfrac{2}{5} \gt \dfrac{3}{8} \] Solution

  24. Order from least to greatest the fractions \[ \dfrac{3}{5} \; , \; \dfrac{7}{6} \; , \; \dfrac{1}{3} \; , \; \dfrac{4}{9} \]
    1. \( \dfrac{1}{3} \; , \; \dfrac{4}{9} \; , \; \dfrac{3}{5} \; , \; \dfrac{7}{6} \)
    2. \( \dfrac{4}{9} \; , \; \dfrac{1}{3} \; , \; \dfrac{3}{5} \; , \; \dfrac{7}{6} \)
    3. \( \dfrac{1}{3} \; , \; \dfrac{4}{9} \; , \; \dfrac{7}{6} \; , \; \dfrac{3}{5} \)
    4. \( \dfrac{1}{3} \; , \; \dfrac{3}{5} \; , \; \dfrac{4}{9} \; , \; \dfrac{7}{6} \)
    Solution

  25. Write \( \dfrac{2}{3} \) of \( 4 \) as a mixed number.
    1. \( 4 \dfrac{2}{3} \)
    2. \( 1 \dfrac{2}{3} \)
    3. \( 2 \dfrac{2}{3} \)
    4. \( \dfrac{8}{3} \)
    Solution

  26. How many minutes are there in \( \dfrac{2}{3} \) of an hour?
    1. 40 minutes
    2. 60 minutes
    3. 20 minutes
    4. 100 minutes
    Solution
  27. In the figure below, a large square was divided into 16 smaller squares of equal sides.
    What fraction of the large square is red?
    What fraction of the large square is blue?
    What fraction of the large square is orange?
    What fraction of the large square is green?
    What fraction of the large square is black?
    What fraction of the large square is yellow?

    fraction, question 20.

    1. red: \( \dfrac{1}{4} \) , blue: \( \dfrac{1}{16} \) , orange: \( \dfrac{1}{16} \), green: \( \dfrac{3}{16} \), black: \( \dfrac{3}{16} \), yellow: \( \dfrac{3}{16} \)
    2. red: \( \dfrac{4}{4} \) , blue: \( \dfrac{1}{16} \) , orange: \( \dfrac{1}{16} \) , green:\( \dfrac{3}{32} \) , black: \( \dfrac{3}{16} \) , yellow: \( \dfrac{3}{16} \)
    3. red: \( \dfrac{1}{4} \) , blue: \( \dfrac{1}{16} \) , orange: \( \dfrac{1}{16} \) , green: \( \dfrac{3}{16} \) , black: \( \dfrac{3}{16} \) , yellow: \( \dfrac{3}{16} \)
    4. red: \( \dfrac{1}{4} \) , blue: \( \dfrac{1}{16} \) , orange: \( \dfrac{1}{32} \) , green: \( \dfrac{3}{32} \) , black: \( \dfrac{3}{16} \) , yellow: \( \dfrac{3}{16} \)
    Solution

Answers to the Above Questions

  1. D
  2. C
  3. A
  4. C
  5. D
  6. C
  7. A
  8. B
  9. D
  10. B
  11. A
  12. D
  13. B
  14. D
  15. C
  16. false
  17. C
  18. C
  19. B
  20. D
  21. B
  22. C
  23. True
  24. A
  25. C
  26. A
  27. D

More References and links

More resources on fractions are included.
Primary Maths (grades 4 and 5) with Free Questions and Problems With Answers
Middle School Maths (grades 6,7,8 and 9) with Free Questions and Problems With Answers
High School Maths (Grades 10, 11 and 12) - Free Questions and Problems With Answers
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