Fractions and Mixed Numbers

Grade 6 Maths Questions and Problems With Answers

Grade 6 math multiple choice questions on fractions and mixed numbers with answers are presented. Also detailed solutions and full explanations are included.
The first 3 questions are related to the concept of fractions and mixed numbers. The remaining questions are related to the skills of dealing with fractions and mixed numbers with some challenging questions.

Note: In this page, fractions are written with diagonal bars. For example 1/3 is the fraction whose numerator is 1 and denominator is 3.
6 1/3 is a mixed number meaning 6 + 1/3.
  1. 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 1.
    1. red: 1/4 , blue: 1/16 , orange: 1/16 , green: 3/16 , black: 3/16 , yellow: 3/16
    2. red: 4/4 , blue: 1/16 , orange: 1/16 , green: 3/32 , black: 3/16 , yellow: 3/16
    3. red: 1/4 , blue: 1/16 , orange: 1/16 , green: 3/16 , black: 3/16 , yellow: 3/16
    4. red: 1/4 , blue: 1/16 , orange: 1/32 , green: 3/32 , black: 3/16 , yellow: 3/16


  2. What fraction is the shaded part?
    fraction, question 2 .
    1. 2
    2. 2
    3. 2 3/4
    4. 1 3/4

  3. Which point on the number line represents 1 1/5?
    fraction, question 3.
    1. s
    2. R
    3. W
    4. K


  4. 3 1/2 + 5 1/2 =

    1. 8
    2. 8 1/2
    3. 9
    4. 9 1/2


  5. 1/2 + 1/14 =

    1. 4/7
    2. 8/7
    3. 2/16
    4. 2/14


  6. 1/3 - 1/12 =

    1. 0
    2. 1/4
    3. -1/9
    4. 1/9


  7. one half is the same as?
    1. one quarter
    2. two quarters
    3. three quarters
    4. four quarters


  8. Which two fractions are not equivalent?
    1. 1/2 and 2/4
    2. 4/3 and 8/6
    3. 1/5 and 3/15
    4. 2/3 and 8/9


  9. 5 2/3 + 5 1/2 =

    1. 10 3/5
    2. 10 1/6
    3. 11 1/6
    4. 10


  10. Order from least to greatest: 8/9 , 17/18 , 2/3 , 7/6 .
    1. 8/9 , 17/18 , 2/3 , 7/6
    2. 2/3 , 8/9 , 17/18 , 7/6
    3. 8/9 , 2/3 , 17/18 , 7/6
    4. 2/3 , 7/6 , 8/9 , 17/18


  11. Which fraction is closest to 1? .
    1. 10/11
    2. 11/10
    3. 9/11
    4. -9/10


  12. 5/2 ÷ 2/5 =
    .
    1. 1
    2. 4/25
    3. 25
    4. 6 1/4


  13. 5 ÷ 1/5 =

    1. 1/25
    2. 25
    3. 1
    4. 6/5


  14. 2/5 x 7/8 =

    1. 14/8
    2. 14/5
    3. 7/20
    4. 9/40


  15. Write the mixed number 7 7/8 as a fraction.
    1. 14/8
    2. 63
    3. 49/8
    4. 63/8


  16. Write the fraction 31/8 as a mixed number.
    1. 3 7/8
    2. 4 7/8
    3. 31 1/8
    4. 3 1/8


  17. 3 x 1/4 =

    1. 3 1/4
    2. 3/4
    3. 34
    4. 1/12


  18. 3 1/4 ÷ 5 1/3 =

    1. 3/5
    2. 3/5 + 3/4
    3. 3/4
    4. 39/64


  19. 4 2/7 x 5 3/5 =

    1. 24
    2. 20 6/35
    3. 20
    4. 6/35


  20. To have F + 2 5/7 = 4, F must be equal to
    1. 1
    2. 2
    3. 1 2/7
    4. 2 2/7


  21. Tom runs 3/4 of an hour every Monday, 30 minutes every Tuesday, half an hour every Wednesday, 1 1/4 hours every Thursday and 2/3 of an hour on Friday. How many hours does Tom run from Monday to Friday? .
    1. 4 hours and 40 minutes
    2. 3 hours and 30 minutes
    3. 3 hours and 50 minutes
    4. 3 hours and 40 minutes


  22. Order from least to greatest: 5 3/4 , 3 4/5 , 3 1/5 , 4 5/6.
    1. 5 3/4 , 3 4/5 , 3 1/5 , 4 5/6
    2. 3 1/5 , 3 4/5 , 4 5/6 , 5 3/4
    3. 3 4/5 , 3 1/5 , 4 5/6 , 5 3/4
    4. 3 1/5 , 3 4/5 , 5 3/4 , 4 5/6


  23. Order from least to greatest: 7 2/3 , 7 3/5 , 7 3/4 , 7 6/11.
    1. 7 3/5 , 7 2/3 , 7 6/11 , 7 3/4
    2. 7 3/5 , 7 6/11 , 7 3/4 , 7 2/3
    3. 7 6/11 , 7 3/5 , 7 2/3 , 7 3/4
    4. 7 3/5 , 7 6/11 , 7 2/3 , 7 3/4


  24. What fraction of 1 hour is 50 minutes?
    1. 1/50
    2. 6/5
    3. 5/6
    4. 50/1


  25. 1/3 is 1/8 of what number?
    1. 8/3
    2. 3/8
    3. 1/2
    4. 3/4

Answers to the Above Questions

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

More References and Links

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