Questions on Fractions of Inches
Multiple-choice questions based on fractions of inches, suitable for Grade 6. Each question simulates a real-life scenario and includes five answer choices. At the end, you'll find detailed explanations for the correct answers.
Fractions of Inches – Multiple Choice Questions
1. Sarah is measuring a piece of fabric that is 5 3/4 inches long. She needs to cut off 1 1/2 inches. How much fabric will she have left?
A) 4 1/4 inches
B) 4 1/2 inches
C) 5 1/4 inches
D) 3 1/2 inches
E) 5 3/8 inches
2. A board is 6 5/8 inches long. John wants to divide it into 2 equal parts. How long will each part be?
A) 3 1/4 inches
B) 3 3/8 inches
C) 3 5/16 inches
D) 3 7/8 inches
E) 3 1/8 inches
3. Lisa cut a ribbon that was 10 inches long into four pieces of equal length. What is the length of each piece?
A) 2 1/2 inches
B) 2 1/4 inches
C) 2 3/4 inches
D) 2 inches
E) 1 3/4 inches
4. A pencil is 7 3/4 inches long. After sharpening, it loses 1 1/8 inches. What is its new length?
A) 6 3/4 inches
B) 6 5/8 inches
C) 6 7/8 inches
D) 5 3/4 inches
E) 7 1/2 inches
5. A picture frame is 8 1/2 inches wide and 11 1/4 inches tall. What is the total length around the frame (perimeter)?
A) 39 inches
B) 38 inches
C) 39 1/2 inches
D) 40 1/2 inches
E) 40 inches
6. Tim has a piece of string that is 12 3/8 inches long. He cuts off 2 5/8 inches. How much string remains?
A) 9 3/4 inches
B) 9 5/8 inches
C) 9 7/8 inches
D) 10 inches
E) 8 1/2 inches
7. A book's thickness is 1 7/8 inches. How thick are 4 stacked books of the same size?
A) 7 1/2 inches
B) 8 inches
C) 7 3/4 inches
D) 6 3/4 inches
E) 7 7/8 inches
8. A plank is 15 inches long. If 3/5 of it is painted, how many inches are painted?
A) 8 inches
B) 9 inches
C) 7 inches
D) 6 inches
E) 10 inches
9. A screw is 2 1/4 inches long. A box contains 10 screws. What is the total length if they are lined end to end?
A) 22 1/2 inches
B) 21 1/4 inches
C) 20 inches
D) 23 inches
E) 20 1/4 inches
10. A wooden stick is 6 1/2 inches long. Amy breaks it into 5 equal parts. What is the length of each piece?
A) 1 1/4 inches
B) 1 1/3 inches
C) 1 3/8 inches
D) 1 1/2 inches
E) 1 2/5 inches
11. A plumber cuts a pipe that is 9 1/2 inches long into 3 pieces. The first piece is 2 1/4 inches, and the second is 3 1/8 inches. How long is the third piece?
A) 4 1/8 inches
B) 3 3/4 inches
C) 4 3/8 inches
D) 2 1/8 inches
E) 5 inches
12. A desk is 24 3/4 inches wide. A monitor takes up 2/3 of the width. How wide is the monitor?
A) 15 1/4 inches
B) 16 1/2 inches
C) 17 inches
D) 15 inches
E) 16 1/4 inches
13. A board is 4 1/2 inches wide. A shelf is 4 times wider. What is the shelf's width?
A) 18 inches
B) 16 1/2 inches
C) 17 inches
D) 17 1/2 inches
E) 19 inches
14. A pipe is 11 inches long. It needs to be divided into 1 3/8-inch sections. How many full sections can be made?
A) 6
B) 7
C) 8
D) 9
E) 10
15. A piece of metal is 7 1/4 inches long. After cutting off 3/4 inches, how long is the remaining piece?
A) 6 1/4 inches
B) 6 1/2 inches
C) 6 3/4 inches
D) 7 inches
E) 5 1/2 inches
16. A cord is 18 1/2 inches long. Mike cuts it into 2 pieces: one is 7 3/4 inches. What is the length of the other?
A) 10 3/4 inches
B) 10 1/2 inches
C) 10 3/8 inches
D) 11 inches
E) 9 3/4 inches
17. A nail is 1 5/8 inches long. A row of nails is placed in a line totaling 13 inches. How many nails are used?
A) 7
B) 8
C) 6
D) 9
E) 10
18. A container is 14 3/4 inches tall. Another container is 5 5/8 inches taller. How tall is the second container?
A) 20 1/2 inches
B) 19 3/8 inches
C) 21 inches
D) 19 1/4 inches
E) 20 3/8 inches
19. A wooden bar is 30 inches long. If 3/4 is painted, how many inches are painted?
A) 22 1/2 inches
B) 24 inches
C) 20 inches
D) 21 inches
E) 25 inches
20. A plant grows 2 3/8 inches per week. How much will it grow in 5 weeks?
A) 11 inches
B) 12 inches
C) 11 3/4 inches
D) 10 1/2 inches
E) 13 inches
- Questions on Equivalent Fractions
- Questions on Common Multiples
- Questions on Lowest Common Denominator
Answer Key with Explanations
1. A) 4 1/4 → 5 3/4 - 1 1/2 = 4 1/4
2. B) 3 3/8 → 6 5/8 ÷ 2 = 3 3/8
3. A) 2 1/2 → 10 ÷ 4 = 2 1/2
4. B) 6 5/8 → 7 3/4 - 1 1/8 = 6 5/8
5. E) 40 → 2 × (8 1/2 + 11 1/4) = 40
6. C) 9 7/8 → 12 3/8 - 2 5/8 = 9 7/8
7. A) 7 1/2 → 1 7/8 × 4 = 7 1/2
8. B) 9 → 3/5 × 15 = 9
9. A) 22 1/2 → 2 1/4 × 10 = 22 1/2
10. C) 1 3/8 → 6 1/2 ÷ 5 = 1 3/8
11. C) 4 1/8 → 9 1/2 - (2 1/4 + 3 1/8) = 4 1/8
12. B) 16 1/2 → 2/3 × 24 3/4 = 16 1/2
13. B) 18 → 4 × 4 1/2 = 18
14. B) 8 → 11 ÷ 1 3/8 = 8
15. C) 6 1/2 → 7 1/4 - 3/4 = 6 1/2
16. C) 10 3/4 → 18 1/2 - 7 3/4 = 10 3/4
17. B) 8 → 13 ÷ 1 5/8 = 8
18. E) 20 3/8 → 14 3/4 + 5 5/8 = 20 3/8
19. B) 22 1/2 → 3/4 × 30 = 22 1/2
20. C) 11 7/8 → 2 3/8 × 5 = 11 7/8
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