NumberKey Stage 3

Fraction of an amount - bar model

Find a fraction of an amount using equal parts in a bar model.

  • Split the whole into the number of equal parts shown by the denominator.
  • Divide the amount by the denominator to find one part.
  • Multiply one part by the numerator to find the required fraction.

Example 1

Find one part

Find of 40.

3 of 5 equal parts. Whole: 40. Selected amount: 24.Whole = 40888883 parts = 24
Divide to find one part, then multiply

Example 2

Use the same method

Find of 63.

2 of 7 equal parts. Whole: 63. Selected amount: 18.Whole = 6399999992 parts = 18
Divide to find one part, then multiply

Remember
Divide by the denominator (bottom), then multiply by the numerator (top).

Your turn

Question 1

Find of 24.

2 of 3 equal parts. Whole: 24. Selected amount: ?.Whole = 242 parts = ?
Check answer
2 of 3 equal parts. Whole: 24. Selected amount: 16.Whole = 248882 parts = 16
Question 2

Find of 52.

3 of 4 equal parts. Whole: 52. Selected amount: ?.Whole = 523 parts = ?
Check answer
3 of 4 equal parts. Whole: 52. Selected amount: 39.Whole = 52131313133 parts = 39
Question 3

Find of 63.

4 of 7 equal parts. Whole: 63. Selected amount: ?.Whole = 634 parts = ?
Check answer
4 of 7 equal parts. Whole: 63. Selected amount: 36.Whole = 6399999994 parts = 36
Question 4

Find of 72.

5 of 8 equal parts. Whole: 72. Selected amount: ?.Whole = 725 parts = ?
Check answer
5 of 8 equal parts. Whole: 72. Selected amount: 45.Whole = 72999999995 parts = 45
Question 5

Find of 120.

7 of 10 equal parts. Whole: 120. Selected amount: ?.Whole = 1207 parts = ?
Check answer
7 of 10 equal parts. Whole: 120. Selected amount: 84.Whole = 120121212121212121212127 parts = 84
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