Fractions · Ages 8–9
Simplifying fractions worksheet
Part of: First fractions
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Simplifying fractions worksheet
Fractions · Ages 8–9
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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)
1.1012 = ?
Answer in simplest form
Answer:
2.48 = ?
Answer in simplest form
Answer:
3.26 = ?
Answer in simplest form
Answer:
4.68 = ?
Answer in simplest form
Answer:
5.28 = ?
Answer in simplest form
Answer:
6.812 = ?
Answer in simplest form
Answer:
7.610 = ?
Answer in simplest form
Answer:
8.36 = ?
Answer in simplest form
Answer:
9.46 = ?
Answer in simplest form
Answer:
10.410 = ?
Answer in simplest form
Answer:
11.210 = ?
Answer in simplest form
Answer:
12.69 = ?
Answer in simplest form
Answer:
Part B: Word problems (4 marks each)
13.A box holds 6 eggs, and Mum uses 4 of them for a cake. What fraction of the box has she used?
Answer in simplest form
Working:
Answer:
14.A box holds 12 eggs, and Mum uses 9 of them for a cake. What fraction of the box has she used?
Answer in simplest form
Working:
Answer:
15.A team has 8 players, and 6 of them are girls. What fraction of the team are girls?
Answer in simplest form
Working:
Answer:
16.A team has 9 players, and 3 of them are girls. What fraction of the team are girls?
Answer in simplest form
Working:
Answer:
17.A chocolate bar has 10 small squares, and Tsz-hin gives 2 of them to his little brother. What fraction of the bar is that?
Answer in simplest form
Working:
Answer:
18.A chocolate bar has 12 small squares, and Ka-yee gives 8 of them to her little brother. What fraction of the bar is that?
Answer in simplest form
Working:
Answer:
Show the answers and working
Simplifying fractions worksheet: Answers and working
Part A: Working out and filling in
1. 1012 = 56
1012: the H.C.F. of 10 and 12 is 2, 10 ÷ 2 = 5, 12 ÷ 2 = 6 → 56
2. 48 = 12
48: the H.C.F. of 4 and 8 is 4, 4 ÷ 4 = 1, 8 ÷ 4 = 2 → 12
3. 26 = 13
26: the H.C.F. of 2 and 6 is 2, 2 ÷ 2 = 1, 6 ÷ 2 = 3 → 13
4. 68 = 34
68: the H.C.F. of 6 and 8 is 2, 6 ÷ 2 = 3, 8 ÷ 2 = 4 → 34
5. 28 = 14
28: the H.C.F. of 2 and 8 is 2, 2 ÷ 2 = 1, 8 ÷ 2 = 4 → 14
6. 812 = 23
812: the H.C.F. of 8 and 12 is 4, 8 ÷ 4 = 2, 12 ÷ 4 = 3 → 23
7. 610 = 35
610: the H.C.F. of 6 and 10 is 2, 6 ÷ 2 = 3, 10 ÷ 2 = 5 → 35
8. 36 = 12
36: the H.C.F. of 3 and 6 is 3, 3 ÷ 3 = 1, 6 ÷ 3 = 2 → 12
9. 46 = 23
46: the H.C.F. of 4 and 6 is 2, 4 ÷ 2 = 2, 6 ÷ 2 = 3 → 23
10. 410 = 25
410: the H.C.F. of 4 and 10 is 2, 4 ÷ 2 = 2, 10 ÷ 2 = 5 → 25
11. 210 = 15
210: the H.C.F. of 2 and 10 is 2, 2 ÷ 2 = 1, 10 ÷ 2 = 5 → 15
12. 69 = 23
69: the H.C.F. of 6 and 9 is 3, 6 ÷ 3 = 2, 9 ÷ 3 = 3 → 23
Part B: Word problems
Marking: 2 for the working, 1 for the answer, 1 for the sentence.
13. A box holds 6 eggs, and Mum uses 4 of them for a cake. What fraction of the box has she used? (Answer: 23)
46 is used; divide the numerator and the denominator by 2: 46 = 23
14. A box holds 12 eggs, and Mum uses 9 of them for a cake. What fraction of the box has she used? (Answer: 34)
912 is used; divide the numerator and the denominator by 3: 912 = 34
15. A team has 8 players, and 6 of them are girls. What fraction of the team are girls? (Answer: 34)
Girls are 68; divide the numerator and the denominator by 2: 68 = 34
16. A team has 9 players, and 3 of them are girls. What fraction of the team are girls? (Answer: 13)
Girls are 39; divide the numerator and the denominator by 3: 39 = 13
17. A chocolate bar has 10 small squares, and Tsz-hin gives 2 of them to his little brother. What fraction of the bar is that? (Answer: 15)
210 is given away; divide the numerator and the denominator by 2: 210 = 15
18. A chocolate bar has 12 small squares, and Ka-yee gives 8 of them to her little brother. What fraction of the bar is that? (Answer: 23)
812 is given away; divide the numerator and the denominator by 4: 812 = 23
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