Fractions of an amount worksheet

Part A: Working out and filling in

1. 1. 79 of 27 = 21

   79 of 27: divide by the denominator for one part, 27 ÷ 9 = 3, then multiply by the numerator, 3 × 7 = 21

2. 2. 23 of 27 = 18

   23 of 27: divide by the denominator for one part, 27 ÷ 3 = 9, then multiply by the numerator, 9 × 2 = 18

3. 3. 19 of 99 = 11

   19 of 99: divide by the denominator for one part, 99 ÷ 9 = 11, then multiply by the numerator, 11 × 1 = 11

4. 4. 47 of 84 = 48

   47 of 84: divide by the denominator for one part, 84 ÷ 7 = 12, then multiply by the numerator, 12 × 4 = 48

5. 5. 310 of 30 = 9

   310 of 30: divide by the denominator for one part, 30 ÷ 10 = 3, then multiply by the numerator, 3 × 3 = 9

6. 6. 12 of 8 = 4

   12 of 8: divide by the denominator for one part, 8 ÷ 2 = 4, then multiply by the numerator, 4 × 1 = 4

7. 7. 34 of 12 = 9

   34 of 12: divide by the denominator for one part, 12 ÷ 4 = 3, then multiply by the numerator, 3 × 3 = 9

8. 8. 13 of 9 = 3

   13 of 9: divide by the denominator for one part, 9 ÷ 3 = 3, then multiply by the numerator, 3 × 1 = 3

9. 9. 16 of 30 = 5

   16 of 30: divide by the denominator for one part, 30 ÷ 6 = 5, then multiply by the numerator, 5 × 1 = 5

10. 10. 12 of 14 = 7

    12 of 14: divide by the denominator for one part, 14 ÷ 2 = 7, then multiply by the numerator, 7 × 1 = 7

11. 11. 57 of 35 = 25

    57 of 35: divide by the denominator for one part, 35 ÷ 7 = 5, then multiply by the numerator, 5 × 5 = 25

12. 12. 29 of 27 = 6

    29 of 27: divide by the denominator for one part, 27 ÷ 9 = 3, then multiply by the numerator, 3 × 2 = 6

Part B: Word problems

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

1. 13. A class has 38 pupils, and 12 of them are girls. How many girls are there? (Answer: 19 girls)

   38 ÷ 2 × 1 = 19

2. 14. A storybook has 102 pages. May has read 16 of the book. How many pages are left to read? (Answer: 85 pages)

   102 ÷ 6 × 1 = 17; 102 − 102 ÷ 6 × 1 = 85

3. 15. A storybook has 231 pages. Ka-lok has read 17 of the book. How many pages are left to read? (Answer: 198 pages)

   231 ÷ 7 × 1 = 33; 231 − 231 ÷ 7 × 1 = 198

4. 16. Tsz-hin has $150 and spends 23 of it on books. How many dollars does he spend on books? (Answer: 100 dollars)

   150 ÷ 3 × 2 = 100

5. 17. Ming has $300 and spends 12 of it on books. How many dollars does he spend on books? (Answer: 150 dollars)

   300 ÷ 2 × 1 = 150

6. 18. A class has 32 pupils, and 12 of them are girls. How many girls are there? (Answer: 16 girls)

   32 ÷ 2 × 1 = 16