Fractions · Ages 10–11

Fractions as division worksheet

Part of: Multiplying and dividing fractions

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Fractions · Ages 10–11

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Write each answer in the space. For word problems, show your working and write a sentence answer.

1.What fraction of 24 is 8?
Answer in simplest form
Answer:
2.11 ÷ 4 = (as a fraction in its simplest form; an improper fraction is fine)
Answer in simplest form
Answer:
3.18 ÷ 4 = (as a fraction in its simplest form; an improper fraction is fine)
Answer in simplest form
Answer:
4.What fraction of 42 is 3?
Answer in simplest form
Answer:
5.An hour is 60 minutes. What fraction of an hour is 25 minutes?
Answer in simplest form
Answer:
6.An hour is 60 minutes. What fraction of an hour is 45 minutes?
Answer in simplest form
Answer:
7.A metre is 100 cm. What fraction of 3 m is 65 cm?
Answer in simplest form
Answer:
8.A metre is 100 cm. What fraction of 1 m is 90 cm?
Answer in simplest form
Answer:

13.Tsz-hin sleeps 11 hours a day. What fraction of the day is that?
Answer in simplest form
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Answer:
14.A hobby group has 18 boys and 10 girls. What fraction of the group are boys?
Answer in simplest form
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Answer:
15.A 6 m rope is cut into 13 equal pieces. How long is each piece?
Answer in simplest form
Working:
Answer:
16.7 croissants are shared equally among 11 people. How many does each get?
Answer in simplest form
Working:
Answer:
17.A hobby group has 16 boys and 10 girls. What fraction of the group are boys?
Answer in simplest form
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Answer:
18.6 paper-wrapped cakes are shared equally among 4 people. How many does each get?
Answer in simplest form
Working:
Answer:

Show the answers and working

Fractions as division worksheet: Answers and working

1. 13
“What fraction of 24 is 8” means 8 ÷ 24. Write it as a fraction, then simplify.
8 ÷ 24 = 824, which simplifies to 13.
2. 114
Make 11, the number divided, the numerator and 4, the divisor, the denominator; then see if it simplifies.
The number divided is the numerator, the divisor the denominator: 114, simplified 114.
3. 92
Make 18, the number divided, the numerator and 4, the divisor, the denominator; then see if it simplifies.
The number divided is the numerator, the divisor the denominator: 184, simplified 92.
4. 114
“What fraction of 42 is 3” means 3 ÷ 42. Write it as a fraction, then simplify.
3 ÷ 42 = 342, which simplifies to 114.
5. 512
Compare 25 minutes with the 60 minutes in an hour: write it as a fraction, then simplify.
An hour is 60 minutes: 25 ÷ 60 = 512.
6. 34
Compare 45 minutes with the 60 minutes in an hour: write it as a fraction, then simplify.
An hour is 60 minutes: 45 ÷ 60 = 34.
7. 1360
Make the units the same first: how many centimetres is 3 m?
Same units first: 3 m is 3 × 100 cm, and 65 ÷ (3 × 100) = 1360.
8. 910
Make the units the same first: how many centimetres is 1 m?
Same units first: 1 m is 1 × 100 cm, and 90 ÷ (1 × 100) = 910.

9. D. 67 of a pizza
Each gets 6 ÷ 7 of a pizza. When a division becomes a fraction, which number is the numerator?
6 ÷ 7 = 67: 67 each.
10. C. 89 of a pizza
Each gets 8 ÷ 9 of a pizza. When a division becomes a fraction, which number is the numerator?
8 ÷ 9 = 89: 89 each.
11. False
Should 1, the number divided, be the numerator or the denominator? Compare with 111.
The number divided, 1, is the numerator; the divisor, 11, the denominator: 111.
12. True
Should 1, the number divided, be the numerator or the denominator? Compare with 12.
The number divided, 1, is the numerator; the divisor, 2, the denominator: 12.

Marking: 2 for the working, 1 for the answer, 1 for the sentence.

13. 1124
How many hours are there in a day? Compare 11 hours with that.
A day is 24 hours: 11 ÷ 24 = 1124.
14. 914
Find the size of the whole group first; the boys are the numerator and the whole group the denominator.
The group has 18 + 10 = 28; 18 ÷ 28 = 914.
15. 613 m
Cutting into 13 equal pieces means 6 ÷ 13. Write that as a fraction.
6 ÷ 13 = 613 m.
16. 711 croissants
Each gets 7 ÷ 11. Write the division as a fraction and simplify.
7 ÷ 11 = 711.
17. 813
Find the size of the whole group first; the boys are the numerator and the whole group the denominator.
The group has 16 + 10 = 26; 16 ÷ 26 = 813.
18. 32 paper-wrapped cakes
Each gets 6 ÷ 4. Write the division as a fraction and simplify.
6 ÷ 4 = 32.

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