Let’s solve each problem step by step. Remember: “of” means multiply, and we’re multiplying fractions with mixed numbers. First, turn any mixed number into an improper fraction, then multiply the two fractions, and simplify if needed.
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1. What is 1/15 of 1 2/5?
Convert 1 2/5 to improper:
1 2/5 = (5×1 + 2)/5 = 7/5
Now multiply:
(1/15) × (7/5) = 7 / 75
✔ Answer:
7/75
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2. What is one-seventh of 3 2/7?
One-seventh = 1/7
Convert 3 2/7: (7×3 + 2)/7 = 23/7
Multiply:
(1/7) × (23/7) = 23 / 49
✔ Answer:
23/49
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3. What is one-third of 3 7/9?
One-third = 1/3
Convert 3 7/9: (9×3 + 7)/9 = 34/9
Multiply:
(1/3) × (34/9) = 34 / 27 → This is greater than 1, so convert to mixed number:
34 ÷ 27 = 1 remainder 7 →
1 7/27
✔ Answer:
1 7/27
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4. What is 1/15 of 2 5/18?
Convert 2 5/18: (18×2 + 5)/18 = 41/18
Multiply:
(1/15) × (41/18) = 41 / 270
Check if it simplifies: 41 is prime, doesn’t divide 270 → stays as is.
✔ Answer:
41/270
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5. What is 2/7 of 2 3/14?
Convert 2 3/14: (14×2 + 3)/14 = 31/14
Multiply:
(2/7) × (31/14) = (2×31) / (7×14) = 62 / 98
Simplify: Divide numerator and denominator by 2 → 31 / 49
✔ Answer:
31/49
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6. What is 3/5 of 1 2/5?
Convert 1 2/5: 7/5 (from #1)
Multiply:
(3/5) × (7/5) = 21 / 25
✔ Answer:
21/25
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7. What is two-fifth of 2 1/8?
Two-fifth = 2/5
Convert 2 1/8: (8×2 + 1)/8 = 17/8
Multiply:
(2/5) × (17/8) = 34 / 40
Simplify: divide by 2 → 17 / 20
✔ Answer:
17/20
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8. What is 7/10 of 2 5/12?
Convert 2 5/12: (12×2 + 5)/12 = 29/12
Multiply:
(7/10) × (29/12) = 203 / 120
Convert to mixed number:
203 ÷ 120 = 1 remainder 83 →
1 83/120
Check if 83/120 can be simplified: 83 is prime, doesn’t divide 120 → leave as is.
✔ Answer:
1 83/120
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9. What is 3/10 of 2 3/5?
Convert 2 3/5: (5×2 + 3)/5 = 13/5
Multiply:
(3/10) × (13/5) = 39 / 50
✔ Answer:
39/50
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10. What is one fifth of 1 2/15?
One fifth = 1/5
Convert 1 2/15: (15×1 + 2)/15 = 17/15
Multiply:
(1/5) × (17/15) = 17 / 75
✔ Answer:
17/75
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Final Answer:
1. 7/75
2. 23/49
3. 1 7/27
4. 41/270
5. 31/49
6. 21/25
7. 17/20
8. 1 83/120
9. 39/50
10. 17/75
Parent Tip: Review the logic above to help your child master the concept of multiplying fractions with whole numbers worksheet.
