Division of Fractions with Mixed Number Workheets - Free Printable

Let’s solve each problem step by step.

We are dividing mixed numbers. The rule given is:
Flip the second fraction (take its reciprocal), then multiply, and simplify if needed.

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Problem 1: 1 2/3 ÷ 5 1/4

Step 1: Convert to improper fractions.
1 2/3 = (3×1 + 2)/3 = 5/3
5 1/4 = (4×5 + 1)/4 = 21/4

Step 2: Flip the second fraction and multiply.
5/3 ÷ 21/4 = 5/3 × 4/21 = (5×4)/(3×21) = 20/63

Step 3: Simplify? 20 and 63 have no common factors → already simplified.

✔ Answer: 20/63

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Problem 2: 2 2/3 ÷ 4 4/5

Step 1: Convert to improper fractions.
2 2/3 = (3×2 + 2)/3 = 8/3
4 4/5 = (5×4 + 4)/5 = 24/5

Step 2: Flip and multiply.
8/3 ÷ 24/5 = 8/3 × 5/24 = (8×5)/(3×24) = 40/72

Step 3: Simplify. Divide numerator and denominator by 8 → 5/9

✔ Answer: 5/9

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Problem 3: 3 1/2 ÷ 1 1/6

Step 1: Convert.
3 1/2 = 7/2
1 1/6 = 7/6

Step 2: Flip and multiply.
7/2 ÷ 7/6 = 7/2 × 6/7 = (7×6)/(2×7) = 42/14

Step 3: Simplify → 42 ÷ 14 = 3

✔ Answer: 3

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Problem 4: 6 1/4 ÷ 4 2/5

Step 1: Convert.
6 1/4 = 25/4
4 2/5 = 22/5

Step 2: Flip and multiply.
25/4 ÷ 22/5 = 25/4 × 5/22 = (25×5)/(4×22) = 125/88

Step 3: Simplify? 125 and 88 share no common factors → leave as is or write as mixed number.

125 ÷ 88 = 1 with remainder 37 → 1 37/88

✔ Answer: 1 37/88

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Problem 5: 7 1/2 ÷ 2 2/5

Step 1: Convert.
7 1/2 = 15/2
2 2/5 = 12/5

Step 2: Flip and multiply.
15/2 ÷ 12/5 = 15/2 × 5/12 = (15×5)/(2×12) = 75/24

Step 3: Simplify. Divide numerator and denominator by 3 → 25/8

Convert to mixed number: 25 ÷ 8 = 3 R1 → 3 1/8

✔ Answer: 3 1/8

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Problem 6: 7 1/4 ÷ 9 2/5

Step 1: Convert.
7 1/4 = 29/4
9 2/5 = 47/5

Step 2: Flip and multiply.
29/4 ÷ 47/5 = 29/4 × 5/47 = (29×5)/(4×47) = 145/188

Step 3: Simplify? 145 and 188 — check GCD.
145 = 5×29, 188 = 4×47 → no common factors.

✔ Answer: 145/188

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Problem 7: 5 2/3 ÷ 6 2/5

Step 1: Convert.
5 2/3 = 17/3
6 2/5 = 32/5

Step 2: Flip and multiply.
17/3 ÷ 32/5 = 17/3 × 5/32 = (17×5)/(3×32) = 85/96

Step 3: Simplify? 85 and 96 — 85=5×17, 96=32×3 → no common factors.

✔ Answer: 85/96

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Problem 8: 8 2/5 ÷ 4 1/4

Step 1: Convert.
8 2/5 = 42/5
4 1/4 = 17/4

Step 2: Flip and multiply.
42/5 ÷ 17/4 = 42/5 × 4/17 = (42×4)/(5×17) = 168/85

Step 3: Simplify? 168 and 85 — 85=5×17, 168=8×21 → no common factors.

Convert to mixed number: 168 ÷ 85 = 1 R83 → 1 83/85

✔ Answer: 1 83/85

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Final Answer:
1. 20/63
2. 5/9
3. 3
4. 1 37/88
5. 3 1/8
6. 145/188
7. 85/96
8. 1 83/85