Let’s solve each problem step by step. We’re finding fractions of numbers — that means we multiply the fraction by the number.
We’ll do them in order: a) through h).
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a)
- 3/7 of 49 → (3 × 49) ÷ 7 = 147 ÷ 7 =
21
- 4/7 of 630 → (4 × 630) ÷ 7 = 2520 ÷ 7 =
360
- 6/7 of 3,500 → (6 × 3500) ÷ 7 = 21000 ÷ 7 =
3000
✔ Check: 3500 ÷ 7 = 500; 500 × 6 = 3000 ✔️
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b)
- 2/9 of 720 → (2 × 720) ÷ 9 = 1440 ÷ 9 =
160
- 7/9 of 36 → (7 × 36) ÷ 9 = 252 ÷ 9 =
28
- 5/9 of 5,400 → (5 × 5400) ÷ 9 = 27000 ÷ 9 =
3000
✔ Check: 5400 ÷ 9 = 600; 600 × 5 = 3000 ✔️
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c)
- 5/6 of 4,800 → (5 × 4800) ÷ 6 = 24000 ÷ 6 =
4000
- 5/6 of 420 → (5 × 420) ÷ 6 = 2100 ÷ 6 =
350
- 4/6 of 36 → Simplify 4/6 to 2/3 first? Or just compute: (4 × 36) ÷ 6 = 144 6 =
24
✔ Check: 36 ÷ 6 = 6; 6 × 4 = 24 ✔️
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d)
- 7/8 of 640 → (7 × 640) ÷ 8 = 4480 ÷ 8 =
560
- 5/8 of 16 → (5 × 16) ÷ 8 = 80 ÷ 8 =
10
- 3/8 of 2,400 → (3 × 2400) ÷ 8 = 7200 ÷ 8 =
900
✔ Check: 2400 ÷ 8 = 300; 300 × 3 = 900 ✔️
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e)
- 7/11 of 110 → (7 × 110) ÷ 11 = 770 ÷ 11 =
70
- 3/11 of 121 → (3 × 121) ÷ 11 = 363 ÷ 11 =
33
- 8/11 of 1,210 → (8 × 1210) ÷ 11 = 9680 ÷ 11 =
880
✔ Check: 1210 ÷ 11 = 110; 110 × 8 = 880 ✔️
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f)
- 3/4 of 64 → (3 × 64) ÷ 4 = 192 ÷ 4 =
48
- 3/4 of 320 → (3 × 320) ÷ 4 = 960 ÷ 4 =
240
- 3/4 of 1,000 → (3 × 1000) ÷ 4 = 3000 ÷ 4 =
750
✔ Check: 1000 ÷ 4 = 250; 250 × 3 = 750 ✔️
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g)
- 2/5 of 750 → (2 × 750) ÷ 5 = 1500 ÷ 5 =
300
- 3/5 of 65 → (3 × 65) ÷ 5 = 195 ÷ 5 =
39
- 4/5 of 5,500 → (4 × 5500) ÷ 5 = 22000 ÷ 5 =
4400
✔ Check: 5500 ÷ 5 = 1100; 1100 × 4 = 4400 ✔️
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h)
- 7/12 of 2,400 → (7 × 2400) ÷ 12 = 16800 ÷ 12 =
1400
- 5/12 of 144 → (5 × 144) ÷ 12 = 720 ÷ 12 =
60
- 11/12 of 360 → (11 × 360) ÷ 12 = 3960 ÷ 12 =
330
✔ Check: 360 ÷ 12 = 30; 30 × 11 = 330 ✔️
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All answers checked and verified.
Final Answer:
a) 21, 360, 3000
b) 160, 28, 3000
c) 4000, 350, 24
d) 560, 10, 900
e) 70, 33, 880
f) 48, 240, 750
g) 300, 39, 4400
h) 1400, 60, 330
Parent Tip: Review the logic above to help your child master the concept of non unit fractions worksheet.
