Fractions · Ages 10–11
Mixed numbers, and three numbers multiplied or divided worksheet
Part of: Multiplying and dividing fractions
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Mixed numbers, and three numbers multiplied or divided worksheet
Fractions · Ages 10–11
Numsprite
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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)
1.4 25 × 2 = (an improper fraction is fine)
Answer in simplest form
Answer:
2.2 110 × 5 = (an improper fraction is fine)
Answer in simplest form
Answer:
3.1 13 × 1 12 = (an improper fraction is fine)
Answer in simplest form
Answer:
4.3 13 ÷ 12 = (an improper fraction is fine)
Answer in simplest form
Answer:
5.110 ÷ 23 ÷ 15 = (an improper fraction is fine)
Answer in simplest form
Answer:
6.1 12 × 3 512 = (an improper fraction is fine)
Answer in simplest form
Answer:
7.2 13 ÷ 12 = (an improper fraction is fine)
Answer in simplest form
Answer:
8.16 ÷ 12 ÷ 49 = (an improper fraction is fine)
Answer in simplest form
Answer:
9.12 × 110 ÷ 13 = (an improper fraction is fine)
Answer in simplest form
Answer:
10.38 × 19 ÷ 45 = (an improper fraction is fine)
Answer in simplest form
Answer:
Part B: Choose, or true or false (2 marks each)
11.To work out 5 35 × 13, what should 5 35 be written as first?
- A. 155
- B. 85
- C. 225
- D. 285
Choose the right answer
Answer:
12.To work out 5 16 × 15, what should 5 16 be written as first?
- A. 316
- B. 66
- C. 56
- D. 296
Choose the right answer
Answer:
Part C: Word problems (4 marks each)
13.A roll of cloth is 15 m long, and each bag takes 58 m. How many bags can be made?
Working:
Answer:
14.A crate holds 21 bottles of juice, 35 litre each. 13 of the crate is drunk at a party. How many litres is that (an improper fraction is fine)?
Answer in simplest form
Working:
Answer:
15.A plot of land is 2 12 square metres, and 45 of it is for flowers. How many square metres is that (an improper fraction is fine)?
Answer in simplest form
Working:
Answer:
16.Ka-yee walks 4 35 km an hour for 15 hour. How many kilometres is that (an improper fraction is fine)?
Answer in simplest form
Working:
Answer:
17.2 23 kg of sugar is split equally into 6 packs, and each pack into 3 small bags. How many kilograms are in each small bag?
Answer in simplest form
Working:
Answer:
18.2 25 kg of sugar is split equally into 5 packs, and each pack into 4 small bags. How many kilograms are in each small bag?
Answer in simplest form
Working:
Answer:
Show the answers and working
Mixed numbers, and three numbers multiplied or divided worksheet: Answers and working
Part A: Working out and filling in
1. 445
Turn 4 25 into an improper fraction first: 4 × 5 + 2 is the numerator, the denominator stays.
4 25 = 225, and 225 × 2 = 445.
2. 212
Turn 2 110 into an improper fraction first: 2 × 10 + 1 is the numerator, the denominator stays.
2 110 = 2110, and 2110 × 5 = 212.
3. 2
Turn 1 13 and 1 12 into improper fractions first, then look for a numerator and a denominator that cancel.
As improper fractions: 43 × 32; cancel, then multiply: 2.
4. 203
Change 3 13 to an improper fraction, then turn ÷ 12 into × its reciprocal.
3 13 = 103; ÷ 12 is × 21: 203.
5. 34
Turn both ÷ into × the reciprocal: ÷ 23 becomes × 32. What does ÷ 15 become?
Both ÷ become × the reciprocal: 110 × 32 × 51 = 34.
6. 418
Turn 1 12 and 3 512 into improper fractions first, then look for a numerator and a denominator that cancel.
As improper fractions: 32 × 4112; cancel, then multiply: 418.
7. 143
Change 2 13 to an improper fraction, then turn ÷ 12 into × its reciprocal.
2 13 = 73; ÷ 12 is × 21: 143.
8. 34
Turn both ÷ into × the reciprocal: ÷ 12 becomes × 21. What does ÷ 49 become?
Both ÷ become × the reciprocal: 16 × 21 × 94 = 34.
9. 320
Turn ÷ 13 into × its reciprocal first, so the three fractions make one long product.
÷ 13 becomes × 31, making one long product: numerator 1 × 1 × 3 = 3, denominator 2 × 10 × 1 = 20, giving 320, which in simplest form is 320.
10. 596
Turn ÷ 45 into × its reciprocal first, so the three fractions make one long product.
÷ 45 becomes × 54, making one long product: numerator 3 × 1 × 5 = 15, denominator 8 × 9 × 4 = 288, giving 15288, which in simplest form is 596.
Part B: Choose, or true or false
11. D. 285
Mixed to improper: the whole number 5 times the denominator 5, plus the numerator 3; the denominator stays the same.
5 35 = 5 × 5 + 35 = 285.
12. A. 316
Mixed to improper: the whole number 5 times the denominator 6, plus the numerator 1; the denominator stays the same.
5 16 = 5 × 6 + 16 = 316.
Part C: Word problems
Marking: 2 for the working, 1 for the answer, 1 for the sentence.
13. 24 bags
One bag per 58 m, so ask how many lots of 58 m fit in 15 m: that is a division.
15 ÷ 58 = 15 × 85 = 24.
14. 215 litres
Find the litres in the whole crate first, 21 × 35, then take 13 of it.
21 × 35 × 13, cancelling first: 215 litres.
15. 2 m²
45 of 2 12 means multiplying. Turn 2 12 into an improper fraction first.
2 12 × 45, as an improper fraction first: 2 m².
16. 2325 km
Distance = distance an hour × time. Turn 4 35 into an improper fraction first.
Distance = distance an hour × time: 4 35 × 15 = 2325 km.
17. 427 kg
Split into 6, then each into 3: that is dividing twice. Turn 2 23 into an improper fraction first.
2 23 ÷ 6 ÷ 3: improper fraction, then × each reciprocal: 427 kg.
18. 325 kg
Split into 5, then each into 4: that is dividing twice. Turn 2 25 into an improper fraction first.
2 25 ÷ 5 ÷ 4: improper fraction, then × each reciprocal: 325 kg.
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