Questions on Improper Fractions and Mixed Numbers
Multiple choice questions for 6th grade focused on improper fractions and mixed numbers, all based on real-life-inspired scenarios using hypothetical data. Each question has five options (A–E), and complete answer explanations are provided at the end.
Multiple Choice Questions
1. Sara ran 13/4 miles on Monday and 11/4 miles on Tuesday. How many miles did she run in total?
A) 5 miles
B) 6 miles
C) 24/4 miles
D) 3 1/2 miles
E) 6 1/2 miles
2. A board is 9 3/4 inches long. If we cut off 5 1/2 inches, how much is left?
A) 4 1/2 inches
B) 5 inches
C) 4 1/4 inches
D) 3 1/2 inches
E) 4 3/4 inches
3. Which of the following is equal to 17/3?
A) 5 3/4
B) 6 1/3
C) 5 2/3
D) 4 2/3
E) 5 1/3
4. A carpenter needs 8 boards that are each 3 1/2 feet long. What is the total length needed?
A) 24 feet
B) 26 feet
C) 28 feet
D) 30 feet
E) 36 feet
5. Mia baked 5 1/3 pans of brownies for a bake sale and sold 3 2/3 pans. How many pans are left?
A) 1 3/4
B) 2 1/2
C) 1 2/3
D) 2
E) 2 2/3
6. Convert the mixed number 4 5/6 to an improper fraction.
A) 29/6
B) 27/6
C) 25/6
D) 23/6
E) 21/6
7. Which mixed number equals the improper fraction 45/8?
A) 6 1/4
B) 5 5/8
C) 5 3/8
D) 5 4/8
E) 5 7/8
8. John is stacking books that are each 2 1/4 inches thick. If he stacks 4 of them, how tall is the stack?
A) 8 inches
B) 9 inches
C) 9 1/2 inches
D) 9 1/4 inches
E) 10 inches
9. If 3/2 of a recipe makes 12 cookies, how many cookies does 1 recipe make?
A) 6
B) 8
C) 9
D) 10
E) 16
10. A container holds 16 2/3 cups of water. If you pour out 9 1/3 cups, how much remains?
A) 7 1/3 cups
B) 6 1/2 cups
C) 8 cups
D) 6 2/3 cups
E) 7 cups
11. Which of the following is the simplified form of 18/6?
A) 3
B) 6
C) 2 1/2
D) 2
E) 3 1/2
12. Emma made 3 3/5 dozen cookies. She gave away 1 4/5 dozen. How many dozen does she have left?
A) 2 1/5
B) 1 4/5
C) 2
D) 1 3/4
E) 2 2/5
13. Which of the following is an improper fraction?
A) 3 2/5
B) 1 3/4
C) 5/6
D) 9/4
E) 2 1/2
14. A pipe is 14 1/2 inches long. Another pipe is 6 3/4 inches long. What is their total length?
A) 21 inches
B) 21 1/4 inches
C) 21 3/4 inches
D) 20 inches
E) 20 3/4 inches
15. Write 7 2/3 as an improper fraction.
A) 23/3
B) 21/3
C) 24/3
D) 22/3
E) 20/3
16. What is 11/3 as a mixed number?
A) 3 2/3
B) 3 1/3
C) 3 1/2
D) 2 2/3
E) 2 1/3
17. A painter pours 2 3/4 gallons of paint into a bucket. Then he adds 3 2/3 gallons more. How much paint is in the bucket?
A) 6 1/2
B) 6 5/12
C) 5 3/4
D) 6 2/3
E) 7 gallons
18. Which of these is the correct conversion of 16/5 to a mixed number?
A) 3 1/5
B) 3 3/5
C) 3 4/5
D) 3 2/5
E) 2 3/5
19. If a recipe calls for 2 1/2 cups of flour and you only have 7/2 cups, do you have enough?
A) No, you’re short 1/2 cup
B) Yes, you have just enough
C) No, you’re short 1 cup
D) Yes, you have 1/2 cup extra
E) No, you need 1/4 cup more
20. What is the sum of 3 3/8 and 4 5/8?
A) 7 7/8
B) 8
C) 8 1/8
D) 8 2/3
E) 7 6/8
- Questions on Common Multiples
- Questions on Lowest Common Denominator
- Questions on Fractions of Inches
Answer Key with Explanations
1. E – (13 + 11)/4 = 24/4 = 6 → 6 miles
2. C – 9 3/4 − 5 1/2 = 9.75 − 5.5 = 4.25 → 4 1/4 inches
3. B – 17 ÷ 3 = 5 R2 → 5 2/3
4. C – 3.5 × 8 = 28 feet
5. C – 5 1/3 − 3 2/3 = 1 2/3
6. A – (4×6 + 5)/6 = 24+5 = 29/6
7. A – 45 ÷ 8 = 5 R5 → 5 5/8
8. D – 2.25 × 4 = 9 inches
9. B – 3/2 of recipe = 12 → 1 recipe = 12 ÷ (3/2) = 12 × 2/3 = 8
10. A – 16 2/3 − 9 1/3 = 7 1/3
11. A – 18 ÷ 6 = 3
12. A – 3 3/5 − 1 4/5 = 2 1/5
13. D – 9/4 is improper; numerator > denominator
14. C – 14 1/2 + 6 3/4 = 21 3/4
15. A – 7×3 + 2 = 23/3
16. B – 11 ÷ 3 = 3 R2 → 3 2/3
17. B – 2 3/4 + 3 2/3 = 6 5/12
18. C – 16 ÷ 5 = 3 R1 → 3 1/5
19. B – 2 1/2 = 5/2 = 7/2 = you have just enough
20. C – 3 3/8 + 4 5/8 = 8 1/8
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