Questions on Fractions with Like Denominators: Sums, Differences, and Expressions
Multiple-choice questions for Grade 6 students, focusing on Fractions with Like Denominators (addition, subtraction, and basic expressions). Each question uses real-life scenarios, has five options (A–E), and the answers with explanations are provided at the end.
Grade 6 – Fractions with Like Denominators: Sums, Differences, and Expressions
Questions
1. Emma drank 3/8 of a liter of juice in the morning and 2/8 in the afternoon. How much did she drink in total?
A) 5/8
B) 6/8
C) 3/8
D) 1/8
E) 7/8
2. A recipe needs 5/6 cup of sugar. Tom only has 2/6 cup. How much more does he need?
A) 2/6
B) 5/6
C) 3/6
D) 4/6
E) 1/6
3. A ribbon is 7/10 meters long. Jane cuts off 3/10. How much ribbon is left?
A) 3/10
B) 4/10
C) 5/10
D) 7/10
E) 2/10
4. Lucy ate 2/5 of a cake and her brother ate 1/5. How much cake was eaten in total?
A) 1/5
B) 3/5
C) 2/5
D) 4/5
E) 5/5
5. Subtract: 6/9 − 2/9 = ?
A) 4/9
B) 3/9
C) 5/9
D) 2/9
E) 6/9
6. Add: 4/7 + 2/7 = ?
A) 5/7
B) 6/7
C) 7/7
D) 4/7
E) 3/7
7. You read 5/12 of a book yesterday and 6/12 today. How much have you read in total?
A) 12/12
B) 10/12
C) 11/12
D) 9/12
E) 8/12
8. A jar has 8/10 liters of water. 5/10 liters are poured out. How much remains?
A) 2/10
B) 3/10
C) 4/10
D) 5/10
E) 1/10
9. What is 3/6 + 2/6?
A) 4/6
B) 3/6
C) 5/6
D) 6/6
E) 2/6
10. Ben had 7/8 of a pizza and ate 3/8. What fraction remains?
A) 4/8
B) 3/8
C) 5/8
D) 2/8
E) 6/8
11. Express: 5/9 + 2/9 − 1/9
A) 6/9
B) 7/9
C) 5/9
D) 8/9
E) 9/9
12. Lily used 3/5 of her money and then spent 1/5 more. How much has she spent total?
A) 5/5
B) 4/5
C) 3/5
D) 2/5
E) 1/5
13. Add: 6/10 + 2/10 = ?
A) 9/10
B) 7/10
C) 8/10
D) 6/10
E) 10/10
14. Subtract: 5/7 − 4/7 = ?
A) 1/7
B) 2/7
C) 3/7
D) 4/7
E) 0/7
15. A jug holds 10/12 liters of milk. You use 7/12. How much is left?
A) 4/12
B) 3/12
C) 2/12
D) 1/12
E) 5/12
16. Add: 1/6 + 4/6
A) 5/6
B) 6/6
C) 4/6
D) 3/6
E) 2/6
17. Subtract: 9/10 − 6/10
A) 4/10
B) 3/10
C) 2/10
D) 5/10
E) 6/10
18. Add: 2/8 + 5/8
A) 6/8
B) 7/8
C) 5/8
D) 8/8
E) 4/8
19. Express: 3/4 + 2/4 − 1/4
A) 4/4
B) 5/4
C) 3/4
D) 2/4
E) 6/4
20. You have 10/10 of a pizza. You eat 6/10 and your friend eats 2/10. What fraction remains?
A) 1/10
B) 3/10
C) 2/10
D) 4/10
E) 5/10
21. Add: 7/9 + 1/9
A) 8/9
B) 7/9
C) 6/9
D) 9/9
E) 5/9
22. Subtract: 5/8 − 2/8
A) 3/8
B) 2/8
C) 1/8
D) 4/8
E) 5/8
23. Add: 3/10 + 4/10
A) 6/10
B) 5/10
C) 7/10
D) 8/10
E) 4/10
24. A class finished 11/12 of their project. They did 7/12 last week. How much was done this week?
A) 3/12
B) 2/12
C) 4/12
D) 5/12
E) 6/12
25. Subtract: 4/6 − 1/6
A) 3/6
B) 2/6
C) 1/6
D) 4/6
E) 0/6
26. A train traveled 6/7 of its journey and still has 1/7 to go. How long is the total trip?
A) 6/7
B) 7/7
C) 8/7
D) 5/7
E) 4/7
27. Add: 2/3 + 1/3
A) 2/3
B) 1/3
C) 3/3
D) 4/3
E) 5/3
28. Subtract: 8/9 − 5/9
A) 3/9
B) 2/9
C) 4/9
D) 5/9
E) 1/9
29. Liam drank 5/6 of his smoothie. His sister drank 1/6. How much did they drink together?
A) 6/6
B) 5/6
C) 7/6
D) 4/6
E) 1/6
30. Subtract: 3/5 − 3/5
A) 1/5
B) 2/5
C) 0
D) 3/5
E) 4/5
- Questions on Fraction Rounding
- Questions on Mixed Numbers: Sums, Differences, Rounding, and Fractions
Answer Key with Explanations
1. A) 5/8 → 3/8 + 2/8 = 5/8
2. C) 3/6 → 5/6 − 2/6 = 3/6
3. B) 4/10 → 7/10 − 3/10 = 4/10
4. B) 3/5 → 2/5 + 1/5 = 3/5
5. A) 4/9
6. B) 6/7
7. C) 11/12
8. B) 3/10
9. C) 5/6
10. A) 4/8
11. A) 6/9 → 5 + 2 − 1 = 6
12. B) 4/5
13. C) 8/10
14. A) 1/7
15. B) 3/12
16. A) 5/6
17. B) 3/10
18. B) 7/8
19. A) 4/4
20. B) 2/10 remaining (10 − 6 − 2)
21. A) 8/9
22. A) 3/8
23. C) 7/10
24. C) 4/12 → 11 − 7 = 4
25. A) 3/6
26. B) 7/7
27. C) 3/3
28. A) 3/9
29. A) 6/6
30. C) 0
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