Let’s solve each problem step by step. Remember: “of” means multiply! So when you see “1/5 of 15”, it means (1/5) × 15.
We’ll go row by row.
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(i) 1/5 of
(a) 15 → (1/5) × 15 = 15 ÷ 5 =
3
(b) 25 → (1/5) × 25 = 25 ÷ 5 =
5
(c) 10 → (1/5) × 10 = 10 ÷ 5 =
2
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(ii) 1/7 of
(a) 21 → (1/7) × 21 = 21 ÷ 7 =
3
(b) 14 → (1/7) × 14 = 14 ÷ 7 =
2
(c) 70 → (1/7) × 70 = 70 ÷ 7 =
10
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(iii) 2/5 of
(a) 40 → (2/5) × 40 = (2 × 40) ÷ 5 = 80 ÷ 5 =
16
(b) 15 → (2/5) × 15 = (2 × 15) ÷ 5 = 30 ÷ 5 =
6
(c) 20 → (2/5) × 20 = (2 × 20) ÷ 5 = 40 ÷ 5 =
8
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(iv) 3/8 of
(a) 32 → (3/8) × 32 = (3 × 32) ÷ 8 = 96 ÷ 8 =
12
(b) 40 → (3/8) × 40 = (3 × 40) ÷ 8 = 120 ÷ 8 =
15
(c) 24 → (3/8) × 24 = (3 × 24) ÷ 8 = 72 ÷ 8 =
9
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(v) 4/9 of
(a) 27 → (4/9) × 27 = (4 × 27) ÷ 9 = 108 ÷ 9 =
12
(b) 18 → (4/9) × 18 = (4 × 18) ÷ 9 = 72 ÷ 9 =
8
(c) 45 → (4/9) × 45 = (4 × 45) ÷ 9 = 180 ÷ 9 =
20
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(vi) 5/6 of
(a) 12 → (5/6) × 12 = (5 × 12) ÷ 6 = 60 ÷ 6 =
10
(b) 24 → (5/6) × 24 = (5 × 24) ÷ 6 = 120 ÷ 6 =
20
(c) 36 → (5/6) × 36 = (5 × 36) ÷ 6 = 180 ÷ 6 =
30
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(vii) 2/7 of
(a) 49 → (2/7) × 49 = (2 × 49) ÷ 7 = 98 ÷ 7 =
14
(b) 63 → (2/7) × 63 = (2 × 63) ÷ 7 = 126 ÷ 7 =
18
(c) 21 → (2/7) × 21 = (2 × 21) ÷ 7 = 42 ÷ 7 =
6
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(viii) 3/5 of
(a) 25 → (3/5) × 25 = (3 × 25) ÷ 5 = 75 ÷ 5 =
15
(b) 10 → (3/5) × 10 = (3 × 10) ÷ 5 = 30 ÷ 5 =
6
(c) 30 → (3/5) × 30 = (3 × 30) ÷ 5 = 90 ÷ 5 =
18
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Final Answer:
(i) (a) 3, (b) 5, (c) 2
(ii) (a) 3, (b) 2, (c) 10
(iii) (a) 16, (b) 6, (c) 8
(iv) (a) 12, (b) 15, (c) 9
(v) (a) 12, (b) 8, (c) 20
(vi) (a) 10, (b) 20, (c) 30
(vii) (a) 14, (b) 18, (c) 6
(viii) (a) 15, (b) 6, (c) 18
Parent Tip: Review the logic above to help your child master the concept of multiplying fractions by whole numbers worksheet 4th grade.