← Back to the Dividing Fractions worksheet
Last updated: October 22, 2026 · Written by the Math Made Easy math teachers
Every problem has a full worked solution with the final answer in bold. Look at where the divisor was flipped, and check that each quotient is larger or smaller than expected.
Standards: 6.NS.A.1 · Level: Grade 6
Problem 2 Finding Reciprocals
(c) 1 23 = 53.
Answer: (a) 73; (b) 15; (c) 35; (d) 9.
Problem 3 Reading a Model
Count the groups: 12 quarters ÷ 3 quarters = 4. Check: 3 ÷ 34 = 3 × 43 = 4.
Answer: 4 scoops.
Problem 4 Whole Numbers by Unit Fractions
(a) 4 × 3 = 12. (b) 5 × 8 = 40. (c) 9 × 4 = 36.
Answer: (a) 12; (b) 40; (c) 36.
Problem 5 Unit Fractions by Whole Numbers
(a) 12 × 13 = 16.
(b) 14 × 15 = 120.
Answer: (a) 16; (b) 120.
Problem 6 Same Denominators
(a) 34 × 8 = 6. (b) 23 × 6 = 4. (c) 56 × 12 = 10.
Answer: (a) 6; (b) 4; (c) 10.
Problem 7 Fraction by Fraction
(a) 35 × 32 = 910.
(b) 78 × 43 = 2824 = 1 16.
(c) 49 × 158 = 6072 = 56.
Answer: (a) 910; (b) 1 16; (c) 56.
Problem 8 Fraction by Whole Number
(a) 56 × 14 = 524.
(b) 38 × 16 = 348 = 116.
Answer: (a) 524; (b) 116.
Problem 9 Whole Number by Fraction
(a) 6 × 83 = 16. (b) 10 × 65 = 12. (c) 4 × 32 = 6.
Answer: (a) 16; (b) 12; (c) 6.
Problem 10 Mixed Number Model
Nine quarters in groups of 3 make 3 groups. Rule: 94 × 43 = 3612 = 3.
Answer: 3.
Problem 11 Mixed Number by Fraction
(a) 32 × 83 = 246 = 4.
(b) 103 × 65 = 6015 = 4.
Answer: (a) 4; (b) 4.
Problem 12 Fraction by Mixed Number
(a) 56 × 35 = 1530 = 12.
(b) 34 × 49 = 1236 = 13.
Answer: (a) 12; (b) 13.
Problem 13 Mixed Number by Mixed Number
(a) 154 × 23 = 3012 = 2 12.
(b) 214 × 37 = 6328 = 94 = 2 14.
Answer: (a) 2 12; (b) 2 14.
Problem 14 Spot the Error
Leo forgot to flip the divisor. The correct step is 23 × 41 = 83 = 2 23. The answer must be greater than 23 because quarters are small.
Answer: 2 23.
Problem 15 Baking Batches
214 ÷ 78 = 214 × 87 = 16828 = 6.
Answer: 6 batches.
Problem 16 Cutting a Roll
152 ÷ 58 = 152 × 85 = 12010 = 12.
Answer: 12 pieces.
Problem 17 Sharing Brownies
45 ÷ 8 = 45 × 18 = 440 = 110.
Answer: 110 of the pan.
Problem 18 Missing Side
Length = area ÷ width = 154 ÷ 32 = 154 × 23 = 3012 = 2 12.
Check: 2 12 × 1 12 = 52 × 32 = 154.
Answer: 2 12 yards.
Problem 19 Walking Speed
(a) 94 ÷ 34 = 94 × 43 = 3 miles per hour.
(b) 3 × 2 12 = 152 = 7 12.
Answer: (a) 3 miles per hour; (b) 7 12 miles.
Problem 20 Cooking Oil
(a) 163 ÷ 23 = 163 × 32 = 8.
(b) 5 × 23 = 103. 163 − 103 = 63 = 2.
Answer: (a) 8 loaves; (b) 2 cups.