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A fraction of a quantity

Share a quantity into equal groups, then take the fraction you need.

Practice + answer key · 2 pages

Worksheet settings12 questions · 2 columns · A4
Denominator range

Bounds select the fraction denominator. The whole quantity is generated from it and a group size of 1–12.

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mathsprig-1
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bd462feb
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A fraction of a quantityA fraction of a quantity. Practice. Find 4/9 of 72. Find 3/7 of 21. Find 5/9 of 18. Find 2/9 of 90. Find 3/6 of 12. Find 5/7 of 63. Find 5/10 of 30. Find 3/4 of 44. Find 3/4 of 12. Find 2/4 of 48. Find 3/6 of 42. Find 1/2 of 18.Name __________________________Date _______________A fraction of a quantityFind the stated fraction of each quantity.Worked exampleFind 3/4 of 20. → 15One quarter of 20 is 20 ÷ 4 = 5.1.Find 4/9 of 72.2.Find 3/7 of 21.3.Find 5/9 of 18.4.Find 2/9 of 90.5.Find 3/6 of 12.6.Find 5/7 of 63.7.Find 5/10 of 30.8.Find 3/4 of 44.9.Find 3/4 of 12.10.Find 2/4 of 48.11.Find 3/6 of 42.12.Find 1/2 of 18.MathSprig · mathsprig.site · support@mathsprig.sitePage 1 of 1mathsprig-1 · mathsprig-v1 · bd462feb
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Practice + answer key · 2 pages

Fractions

What you’ll practice

Find a proper fraction of a quantity using division by the denominator and multiplication by the numerator.

To find three quarters of a quantity, first find one quarter. Divide by the denominator to make equal groups, then multiply by the numerator to take the groups you need.

How this skill works

The denominator tells how many equal groups make the whole. Divide the quantity by that denominator to find one group.

The numerator tells how many of those groups are needed. Multiply the one-group value by the numerator to find the requested amount.

Worked example

Find 3/4 of 20.
  1. One quarter of 20 is 20 ÷ 4 = 5.
  2. Three quarters are 3 × 5 = 15.

Answer: 15

Teaching notes

  • Find one fractional unit before taking several.
  • For a proper fraction of a positive quantity, the answer should be smaller than the whole.
Practice questions
  1. Find 4/9 of 72.
  2. Find 3/7 of 21.
  3. Find 5/9 of 18.
  4. Find 2/9 of 90.
  5. Find 3/6 of 12.
  6. Find 5/7 of 63.
  7. Find 5/10 of 30.
  8. Find 3/4 of 44.
  9. Find 3/4 of 12.
  10. Find 2/4 of 48.
  11. Find 3/6 of 42.
  12. Find 1/2 of 18.
Answers and steps
  1. 32
    1. One of the 9 equal groups contains 72 ÷ 9 = 8. Take 4 such groups: 4 × 8 = 32.
  2. 9
    1. One of the 7 equal groups contains 21 ÷ 7 = 3. Take 3 such groups: 3 × 3 = 9.
  3. 10
    1. One of the 9 equal groups contains 18 ÷ 9 = 2. Take 5 such groups: 5 × 2 = 10.
  4. 20
    1. One of the 9 equal groups contains 90 ÷ 9 = 10. Take 2 such groups: 2 × 10 = 20.
  5. 6
    1. One of the 6 equal groups contains 12 ÷ 6 = 2. Take 3 such groups: 3 × 2 = 6.
  6. 45
    1. One of the 7 equal groups contains 63 ÷ 7 = 9. Take 5 such groups: 5 × 9 = 45.
  7. 15
    1. One of the 10 equal groups contains 30 ÷ 10 = 3. Take 5 such groups: 5 × 3 = 15.
  8. 33
    1. One of the 4 equal groups contains 44 ÷ 4 = 11. Take 3 such groups: 3 × 11 = 33.
  9. 9
    1. One of the 4 equal groups contains 12 ÷ 4 = 3. Take 3 such groups: 3 × 3 = 9.
  10. 24
    1. One of the 4 equal groups contains 48 ÷ 4 = 12. Take 2 such groups: 2 × 12 = 24.
  11. 21
    1. One of the 6 equal groups contains 42 ÷ 6 = 7. Take 3 such groups: 3 × 7 = 21.
  12. 9
    1. One of the 2 equal groups contains 18 ÷ 2 = 9. Take 1 such groups: 1 × 9 = 9.