Questions on Fractions with Different Denominators

Questions on Fractions with Different Denominators

Multiple-choice questions for Grade 6, focused on Fractions with Different Denominators (addition, subtraction, and expressions), using real-life situations, with five alternatives per question (A–E). At the end, you'll find a full answer key with explanations.

 Grade 6: Fractions with Different Denominators

Focus: Sums, Differences, and Expressions

Format: Multiple Choice (5 Options)

 Questions

    1. Sofia walked 2/3 mile in the morning and 1/6 mile in the evening. How far did she walk in total?

A) 1/2

B) 3/6

C) 3/4

D) 5/6

E) 4/5

    2. A cake recipe uses 3/4 cup of sugar and 2/3 cup of flour. What is the total amount used?

A) 1 5/12

B) 1 1/4

C) 1 1/2

D) 1

E) 1 3/4

    3. David ate 5/6 of a pizza. His friend ate 1/4. How much did they eat together?

A) 1

B) 1 1/12

C) 1 3/4

D) 1 1/6

E) 2

    4. Anna spent 2/5 of her money on books and 1/3 on clothes. What fraction of her money did she spend?

A) 3/8

B) 7/15

C) 11/15

D) 5/8

E) 1

    5. If Mark drank 7/8 of a liter of water and Sarah drank 1/3, how much did they drink together?

A) 1

B) 41/24

C) 35/24

D) 31/24

E) 33/24

    6. Lucy has 5/6 of a yard of ribbon. She cuts off 1/2 yard. How much ribbon is left?

A) 1/3

B) 1/6

C) 1/2

D) 2/3

E) 3/4

    7. A container has 3/4 of a gallon of milk. 2/5 of a gallon is used. How much is left?

A) 1/4

B) 7/20

C) 1/2

D) 11/20

E) 3/5

    8. Add: 2/3 + 3/5

A) 1 1/15

B) 1 4/15

C) 1 5/15

D) 1 2/5

E) 1 1/3

    9. Subtract: 5/6 − 1/3

A) 1/2

B) 2/3

C) 3/6

D) 5/9

E) 1/3

    10. Add: 1/4 + 1/6

A) 5/12

B) 3/10

C) 1/2

D) 7/12

E) 2/5

    11. Emma used 3/8 of a can of paint and later used 1/3 more. How much did she use in total?

A) 13/24

B) 15/24

C) 17/24

D) 11/24

E) 9/24

    12. Subtract: 7/8 − 1/6

A) 13/24

B) 11/24

C) 17/24

D) 5/6

E) 3/4

    13. Jack rode his bike for 5/12 hour in the morning and 1/4 hour in the afternoon. Total time?

A) 2/3

B) 7/12

C) 3/4

D) 5/6

E) 11/12

    14. Eva had 2/3 of a bag of flour. She used 1/4. How much remains?

A) 5/12

B) 1/2

C) 1/3

D) 7/12

E) 2/5

    15. Add: 7/10 + 3/8

A) 1 1/5

B) 1 1/4

C) 1 11/40

D) 1 3/8

E) 1 7/20

    16. Liam has 5/9 of a pie. He eats 2/3. How much is left?

A) 1/9

B) 1/3

C) 2/9

D) None

E) 4/9

    17. Add: 3/5 + 1/2

A) 1 1/10

B) 1 1/5

C) 7/10

D) 1 3/10

E) 1 1/2

    18. Subtract: 4/5 − 1/3

A) 7/15

B) 9/15

C) 8/15

D) 11/15

E) 13/15

    19. A jug holds 5/6 liters. You pour out 3/10. What remains?

A) 13/30

B) 8/15

C) 17/30

D) 7/15

E) 1/2

    20. Add: 2/9 + 1/4

A) 17/36

B) 11/36

C) 13/36

D) 7/18

E) 9/18

    21. Lucas biked 3/5 mile, then ran 3/10 mile. How far did he go?

A) 9/10

B) 3/4

C) 4/5

D) 1

E) 1 1/10

    22. Ella used 2/3 of a tank of gas on Monday and 3/8 on Tuesday. Total?

A) 1 5/24

B) 1 1/2

C) 1 7/24

D) 1

E) 1 1/4

    23. Subtract: 5/8 − 1/3

A) 7/24

B) 11/24

C) 13/24

D) 17/24

E) 19/24

    24. Add: 2/5 + 3/10

A) 7/10

B) 3/4

C) 4/5

D) 9/10

E) 1

    25. A student finished 3/4 of a test, then 2/5 more. What fraction is done?

A) 1 3/20

B) 1 2/5

C) 1 1/20

D) 1 1/4

E) 1 1/10

    26. Subtract: 7/9 − 1/2

A) 5/18

B) 4/9

C) 3/9

D) 1/3

E) 2/9

    27. Add: 5/6 + 2/5

A) 1 7/30

B) 1 1/5

C) 1 4/11

D) 1 1/6

E) 1 2/3

    28. Subtract: 11/12 − 5/8

A) 13/24

B) 8/24

C) 7/24

D) 11/24

E) 17/24

    29. Samantha has 3/4 yard of fabric and buys 2/9 more. How much does she have?

A) 29/36

B) 31/36

C) 27/36

D) 33/36

E) 35/36

    30. Liam ate 5/6 of a pie. His sister ate 1/5. How much did they eat?

A) 31/30

B) 1

C) 27/30

D) 1 1/30

E) 1 2/5

• Questions on Fraction Rounding
• Questions on Mixed Numbers: Sums, Differences, Rounding, and Fractions
• Questions on Fractions with Like Denominators: Sums, Differences, and Expressions

 Answer Key with Explanations

    1. D) 5/6 → LCD = 6 → 2/3 = 4/6 → 4/6 + 1/6 = 5/6

    2. A) 1 5/12 → 3/4 = 9/12, 2/3 = 8/12 → 17/12 = 1 5/12

    3. B) 1 1/12 → 5/6 + 1/4 = 10/12 + 3/12 = 13/12 = 1 1/12

    4. C) 11/15 → 2/5 = 6/15, 1/3 = 5/15 → 11/15

    5. D) 31/24

    6. A) 1/3 → 5/6 − 1/2 = 10/12 − 6/12 = 4/12 = 1/3

    7. D) 11/20 → 3/4 − 2/5 = 15/20 − 8/20 = 7/20

    8. B) 1 4/15

    9. A) 1/2 → 5/6 − 1/3 = 5/6 − 2/6 = 3/6 = 1/2

    10. A) 5/12

    11. A) 13/24

    12. C) 17/24

    13. B) 7/12

    14. A) 5/12

    15. C) 1 11/40

    16. A) 1/9

    17. D) 1 3/10

    18. A) 7/15

    19. C) 17/30

    20. A) 17/36

    21. A) 9/10

    22. A) 1 5/24

    23. C) 13/24

    24. A) 7/10

    25. C) 1 1/20

    26. A) 5/18

    27. A) 1 7/30

    28. A) 13/24

    29. B) 31/36

    30. D) 1 1/30

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Ronaldo Silva: Professor and Specialist in Science Teaching, from UFF/RJ, with more than 25 years of experience in teaching.