Printable worksheet for practicing multiplication and division of fractions, featuring 12 problems with space for answers.

Let’s solve each problem one by one.

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Problem 1: (2/6) × (15/13)
First, simplify 2/6 → that’s 1/3.
Now multiply: (1/3) × (15/13) = (1×15)/(3×13) = 15/39
Simplify 15/39 → divide numerator and denominator by 3 → 5/13

✔ Final for #1: 5/13

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Problem 2: (10/24) ÷ (36/40)
Dividing fractions? Flip the second fraction and multiply!
So: (10/24) × (40/36)
Simplify first: 10/24 → 5/12; 40/36 → 10/9
Now: (5/12) × (10/9) = (5×10)/(12×9) = 50/108
Simplify: divide numerator and denominator by 2 → 25/54

✔ Final for #2: 25/54

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Problem 3: (9/10) × (21/63)
Simplify 21/63 → that’s 1/3
Now: (9/10) × (1/3) = (9×1)/(10×3) = 9/30
Simplify → divide by 3 → 3/10

✔ Final for #3: 3/10

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Problem 4: (4/3) ÷ (20/27)
Flip the second fraction: (4/3) × (27/20)
Multiply: (4×27)/(3×20) = 108/60
Simplify: divide by 12 → 9/5? Wait — let’s check:
108 ÷ 12 = 9, 60 ÷ 12 = 5 → yes, 9/5 or as mixed number 1 4/5, but we’ll keep improper unless asked.

Actually, better to simplify before multiplying:
(4/3) × (27/20) → 4 and 20 → divide by 4 → 1 and 5
27 and 3 → divide by 3 → 9 and 1
So now: (1/1) × (9/5) = 9/5

✔ Final for #4: 9/5

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Problem 5: (14/33) ÷ (56/99)
Flip second: (14/33) × (99/56)
Simplify:
14 and 56 → divide by 14 → 1 and 4
99 and 33 → divide by 33 → 3 and 1
So: (1/1) × (3/4) = 3/4

✔ Final for #5: 3/4

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Problem 6: (8/3) × (14/64)
Simplify 8/64 → 1/8
So: (1/3) × (14/8)? Wait — better:
(8/3) × (14/64) → 8 and 64 → divide by 8 → 1 and 8
So: (1/3) × (14/8) → 14 and 8 can be simplified? 14÷2=7, 8÷2=4 → so (1/3) × (7/4) = 7/12

Wait — let me redo cleanly:

Original: (8 × 14) / (3 × 64) = 112 / 192
Divide numerator and denominator by 16: 112÷16=7, 192÷16=12 → 7/12

✔ Final for #6: 7/12

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Problem 7: (20/3) × (11/9)
Just multiply straight: (20×11)/(3×9) = 220/27
Can’t simplify further → 220/27 or as mixed number 8 4/27, but we’ll leave as improper fraction.

✔ Final for #7: 220/27

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Problem 8: (3/9) × (7/14)
Simplify both: 3/9 → 1/3; 7/14 → 1/2
Then: (1/3) × (1/2) = 1/6

✔ Final for #8: 1/6

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Problem 9: (5/3) ÷ (2/8)
Flip second: (5/3) × (8/2)
8/2 = 4 → so (5/3) × 4 = 20/3

Or: (5×8)/(3×2) = 40/6 → simplify → 20/3

✔ Final for #9: 20/3

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Problem 10: (6/4) ÷ (9/15)
Flip second: (6/4) × (15/9)
Simplify: 6/4 → 3/2; 15/9 → 5/3
So: (3/2) × (5/3) → 3 cancels out → (1/2) × 5 = 5/2

Or: (6×15)/(4×9) = 90/36 → divide by 18 → 5/2

✔ Final for #10: 5/2

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Problem 11: (17/12) ÷ (8/16)
Flip second: (17/12) × (16/8)
16/8 = 2 → so (17/12) × 2 = 34/12 → simplify → 17/6

Or: (17×16)/(12×8) = 272/96 → divide by 16 → 17/6

✔ Final for #11: 17/6

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Problem 12: (5/6) × (21/5)
Notice 5 in numerator and denominator → cancel them!
Left with: (1/6) × 21 = 21/6 → simplify → 7/2

Or: (5×21)/(6×5) = 105/30 → divide by 15 → 7/2

✔ Final for #12: 7/2

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Final Answers:

1. 5/13
2. 25/54
3. 3/10
4. 9/5
5. 3/4
6. 7/12
7. 220/27
8. 1/6
9. 20/3
10. 5/2
11. 17/6
12. 7/2