Dividing Fractions worksheet with 12 practice problems for math students.

Let’s solve each problem step by step. Remember: when dividing fractions, you flip the second fraction (that’s called finding its reciprocal) and then multiply.

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Problem 1:

2/10 ÷ 3/5

Step 1: Flip the second fraction → 3/5 becomes 5/3
Step 2: Multiply: (2/10) × (5/3) = (2×5)/(10×3) = 10/30
Step 3: Simplify: 10/30 = 1/3

✔ Answer: 1/3

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Problem 2:

25/27 ÷ 4/3

Step 1: Flip 4/3 → becomes 3/4
Step 2: Multiply: (25/27) × (3/4) = (25×3)/(27×4) = 75/108
Step 3: Simplify — divide numerator and denominator by 3 → 25/36

✔ Answer: 25/36

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Problem 3:

1/5 ÷ 3/2

Step 1: Flip 3/2 → becomes 2/3
Step 2: Multiply: (1/5) × (2/3) = 2/15
Step 3: Already simplified.

✔ Answer: 2/15

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Problem 4:

1/2 ÷ 9/11

Step 1: Flip 9/11 → becomes 11/9
Step 2: Multiply: (1/2) × (11/9) = 11/18
Step 3: Already simplified.

✔ Answer: 11/18

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Problem 5:

5/2 ÷ 10/7

Step 1: Flip 10/7 → becomes 7/10
Step 2: Multiply: (5/2) × (7/10) = 35/20
Step 3: Simplify — divide by 5 → 7/4 → or as mixed number: 1 3/4
But since the worksheet uses improper fractions, we’ll leave it as 7/4

✔ Answer: 7/4

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Problem 6:

30/42 ÷ 5/6

Step 1: Flip 5/6 → becomes 6/5
Step 2: Multiply: (30/42) × (6/5) = (30×6)/(42×5) = 180/210
Step 3: Simplify — divide numerator and denominator by 30 → 6/7
(Or step-by-step: 180÷30=6, 210÷30=7)

✔ Answer: 6/7

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Problem 7:

7/25 ÷ 13/25

Step 1: Flip 13/25 → becomes 25/13
Step 2: Multiply: (7/25) × (25/13) = (7×25)/(25×13)
Step 3: Cancel out the 25s → 7/13

✔ Answer: 7/13

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Problem 8:

20/125 ÷ 5/25

Step 1: Flip 5/25 → becomes 25/5
Step 2: Multiply: (20/125) × (25/5) = (20×25)/(125×5) = 500 / 625
Step 3: Simplify — divide numerator and denominator by 125 → 4/5
(Check: 500÷125=4, 625÷125=5)

✔ Answer: 4/5

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Problem 9:

36/5 ÷ 6/5

Step 1: Flip 6/5 → becomes 5/6
Step 2: Multiply: (36/5) × (5/6) = (36×5)/(5×6)
Step 3: Cancel out the 5s → 36/6 = 6

✔ Answer: 6

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Problem 10:

12/13 ÷ 9/7

Step 1: Flip 9/7 → becomes 7/9
Step 2: Multiply: (12/13) × (7/9) = (12×7)/(13×9) = 84/117
Step 3: Simplify — divide numerator and denominator by 3 → 28/39

✔ Answer: 28/39

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Problem 11:

75/19 ÷ 100/19

Step 1: Flip 100/19 → becomes 19/100
Step 2: Multiply: (75/19) × (19/100) = (75×19)/(19×100)
Step 3: Cancel out the 19s → 75/100
Step 4: Simplify — divide by 25 → 3/4

✔ Answer: 3/4

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Problem 12:

100/60 ÷ 2/30

Step 1: Flip 2/30 → becomes 30/2
Step 2: Multiply: (100/60) × (30/2) = (100×30)/(60×2) = 3000 / 120
Step 3: Simplify — divide numerator and denominator by 60 → 50/2 = 25
(Or: 3000 ÷ 120 = 25)

✔ Answer: 25

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Final Answer:
1. 1/3
2. 25/36
3. 2/15
4. 11/18
5. 7/4
6. 6/7
7. 7/13
8. 4/5
9. 6
10. 28/39
11. 3/4
12. 25