Fractions · Ages 10–11
Multiplying fractions worksheet
Part of: Multiplying and dividing fractions
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Multiplying fractions worksheet
Fractions · Ages 10–11
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Name:Date:Score:／48
Write each answer in the space. For word problems, show your working and write a sentence answer.
Part A: Working out and filling in (2 marks each)
1.110 × 3
Answer in simplest form
Answer:
2.112 × 5
Answer in simplest form
Answer:
3.12 × 67
Answer in simplest form
Answer:
4.45 × 16
Answer in simplest form
Answer:
5.45 × 79
Answer:
6.45 × 35
Answer:
7.47 × 1112
Answer in simplest form
Answer:
8.25 × 910
Answer in simplest form
Answer:
9.29 × 58
Answer in simplest form
Answer:
10.110 × 6
Answer in simplest form
Answer:
11.15 × 15
Answer:
12.35 × 35
Answer in simplest form
Answer:
Part B: Word problems (4 marks each)
13.A jug holds 45 L of water, and Tsz-hin drinks 15 of it. How many litres does he drink?
Answer in simplest form
Working:
Answer:
14.A jug holds 23 L of water, and Tsz-ching drinks 23 of it. How many litres does she drink?
Answer in simplest form
Working:
Answer:
15.A metre of wire weighs 35 kg. Tsz-ching cuts off 34 m of it. How many kilograms does the piece weigh?
Answer in simplest form
Working:
Answer:
16.One cake needs 57 kg of flour. How many kilograms of flour do 7 such cakes need?
Answer in simplest form
Working:
Answer:
17.A metre of wire weighs 43 kg. Tsz-ching cuts off 14 m of it. How many kilograms does the piece weigh?
Answer in simplest form
Working:
Answer:
18.One cake needs 37 kg of flour. How many kilograms of flour do 9 such cakes need?
Answer in simplest form
Working:
Answer:
Show the answers and working
Multiplying fractions worksheet: Answers and working
Part A: Working out and filling in
1. 110 × 3 = 310
110 × 3: the whole number times the numerator, 3 × 1 = 3, the denominator unchanged → 310, already in simplest form
2. 112 × 5 = 512
112 × 5: the whole number times the numerator, 5 × 1 = 5, the denominator unchanged → 512, already in simplest form
3. 12 × 67 = 37
12 × 67: numerators times numerators, 1 × 6 = 6; denominators times denominators, 2 × 7 = 14 → 614; simplify by their H.C.F., 2: 6 ÷ 2 = 3, 14 ÷ 2 = 7 → 37
4. 45 × 16 = 215
45 × 16: numerators times numerators, 4 × 1 = 4; denominators times denominators, 5 × 6 = 30 → 430; simplify by their H.C.F., 2: 4 ÷ 2 = 2, 30 ÷ 2 = 15 → 215
5. 45 × 79 = 35
45 × 79: that's 79 of 45, 45 ÷ 9 = 5, 5 × 7 = 35
6. 45 × 35 = 27
45 × 35: that's 35 of 45, 45 ÷ 5 = 9, 9 × 3 = 27
7. 47 × 1112 = 1121
47 × 1112: numerators times numerators, 4 × 11 = 44; denominators times denominators, 7 × 12 = 84 → 4484; simplify by their H.C.F., 4: 44 ÷ 4 = 11, 84 ÷ 4 = 21 → 1121
8. 25 × 910 = 925
25 × 910: numerators times numerators, 2 × 9 = 18; denominators times denominators, 5 × 10 = 50 → 1850; simplify by their H.C.F., 2: 18 ÷ 2 = 9, 50 ÷ 2 = 25 → 925
9. 29 × 58 = 536
29 × 58: numerators times numerators, 2 × 5 = 10; denominators times denominators, 9 × 8 = 72 → 1072; simplify by their H.C.F., 2: 10 ÷ 2 = 5, 72 ÷ 2 = 36 → 536
10. 110 × 6 = 35
110 × 6: the whole number times the numerator, 6 × 1 = 6, the denominator unchanged → 610; simplify by their H.C.F., 2: 6 ÷ 2 = 3, 10 ÷ 2 = 5 → 35
11. 15 × 15 = 3
15 × 15: that's 15 of 15, 15 ÷ 5 = 3, 3 × 1 = 3
12. 35 × 35 = 925
35 × 35: numerators times numerators, 3 × 3 = 9; denominators times denominators, 5 × 5 = 25 → 925, already in simplest form
Part B: Word problems
Marking: 2 for the working, 1 for the answer, 1 for the sentence.
13. A jug holds 45 L of water, and Tsz-hin drinks 15 of it. How many litres does he drink? (Answer: 425 L)
45 × 15 = 425
14. A jug holds 23 L of water, and Tsz-ching drinks 23 of it. How many litres does she drink? (Answer: 49 L)
23 × 23 = 49
15. A metre of wire weighs 35 kg. Tsz-ching cuts off 34 m of it. How many kilograms does the piece weigh? (Answer: 920 kg)
35 × 34 = 920
16. One cake needs 57 kg of flour. How many kilograms of flour do 7 such cakes need? (Answer: 5 kg)
57 × 7 = 5
17. A metre of wire weighs 43 kg. Tsz-ching cuts off 14 m of it. How many kilograms does the piece weigh? (Answer: 13 kg)
43 × 14 = 13
18. One cake needs 37 kg of flour. How many kilograms of flour do 9 such cakes need? (Answer: 277 kg)
37 × 9 = 277
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