Fractions and Mixed Numbers- Grade 7 Math Questions and Problems With Answers

Grade 7 maths multiple choice questions on fractions and mixed numbers with answers are presented. The questions tests both the skills and concepts related to fractions and mixed numbers with some challenging questions. Solutions and explanations are included.

Notes: 1 - In this page, fractions are written with diagonal bars. For example 5/8 is the fraction whose numerator is 5 and denominator is 8.
11 1/4 is a mixed number meaning 11 + 1/4.
2 - Do not use the calculator to solve the questions below.


  1. Find fraction F with denominator less than 8 such that 2/8 + F = 1
    1. 3/4
    2. 2/8
    3. 1/8
    4. 8/8


  2. Find two fractions F1 and F2 with same denominator equal to 6 such that F1 + F2 = 1 and F1 - F2 = 2/3
    1. F1 = 1/6 , F2 = 1/6
    2. F1 = 6/6 , F2 = 2/6
    3. F1 = 5/6 , F2 = 5/6
    4. F1 = 5/6 , F2 = 1/6


  3. Which fraction is equivalent to 16%?
    1. 16/25
    2. 4/25
    3. 16/25
    4. 16/16


  4. Which fraction is equivalent to 300/1000
    1. 3/100
    2. 3/1000
    3. 3/10
    4. 300/10


  5. 1/2 + 1/5 + 1/6 =

    1. 3/2
    2. 13/15
    3. 15/13
    4. 13/13


  6. 3 3/5 + 5 1/2 =

    1. 9 1/10
    2. 9
    3. 10 1/10
    4. 8 4/7


  7. 1/7 x 2 2/5 =

    1. 4/35
    2. 2/35
    3. 12/35
    4. 1/35


  8. 1/12 x 0.2 =

    1. 1/6
    2. 1/120
    3. 1/600
    4. 1/60


  9. 2/5 ÷ 6 =
    .
    1. 12/5
    2. 1/15
    3. 5/12
    4. 12/30


  10. 9/7 + 2 =
    .
    1. 3 2/7
    2. 11/7
    3. 9/9
    4. 3 9/7


  11. 2 1/3 + 4/2 =

    1. 3
    2. 7/5
    3. 4 1/3
    4. 2 5/5


  12. 3 1/5 ÷ 5 =

    1. 3 1/25
    2. 4
    3. 16/25
    4. 15 1/5


  13. 1/2 + 4 1/3 - 3 2/5 =

    1. 1 13/30
    2. 1
    3. 2 13/30
    4. 2


  14. 5/2 ÷ 7/2 - 1/5 =

    1. 18/35
    2. 2 11/20
    3. 35/18
    4. 8 11/20


  15. (0.2 + 1/5) x 2/7 =

    1. 2/35
    2. 3/35
    3. 5/35
    4. 4/35


  16. (3 1/2 + 3/5) x 1/7 =

    1. 3 1/4
    2. 41/70
    3. 34
    4. 1/12


  17. 40/4000 =

    1. 1%
    2. 40%
    3. 4%
    4. 10%


  18. (1/2 + 2/3) ÷ 0.2 =

    1. 7/30
    2. 3
    3. 5 5/6
    4. 6 5/6


  19. Order from least to greatest: 3 4/7 , 3 3/5 , 3 1/2 , 3 11/20.
    1. 3 1/2 , 3 11/20 , 3 4/7 , 3 3/5
    2. 3 1/2 , 3 3/5 , 3 11/20 , 3 4/7
    3. 3 1/2 , 3 3/5 , 3 4/7 , 3 11/20
    4. 3 3/5 , 3 1/2 , 3 11/20 , 3 4/7


  20. Order from least to greatest: 2 7/8 , 2.66 , 262% , 25/8.
    1. 2.66 , 2 7/8 , 25/8 , 262%
    2. 25/8 , 2 7/8 , 2.66 , 262%
    3. 25/8 , 2.66 , 2 7/8 , 262%
    4. 262% , 2.66 , 2 7/8 , 25/8

Answers to the Above Questions

  1. A
  2. D
  3. B
  4. C
  5. B
  6. A
  7. C
  8. D
  9. B
  10. A
  11. C
  12. C
  13. A
  14. A
  15. D
  16. B
  17. A
  18. C
  19. A
  20. D
Middle School Maths (Grades 6, 7, 8, 9) - Free Questions and Problems With Answers
High School Maths (Grades 10, 11 and 12) - Free Questions and Problems With Answers
Primary Maths (Grades 4 and 5) with Free Questions and Problems With Answers
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