AI generatedNumberKS3 / GCSE

Reading fractions from diagrams

A fraction compares part of a whole with that whole. The pieces must be equal in size.

  • A fraction compares part of a whole with that whole. The pieces must be equal in size.
  • The denominator counts all the equal parts in one whole. The numerator counts the shaded parts.
  • Write shaded parts over total parts, then simplify. Do not count only the unshaded parts.

Example 1

What fraction of the rectangle is shaded? Give your answer in simplest form.

1 of 5 equal parts shadedEach part has the same area.
Count shaded parts over all equal parts.

Example 2

What fraction of the rectangle is shaded? Give your answer in simplest form.

4 of 6 equal parts shadedEach part has the same area.
Count shaded parts over all equal parts.

Remember
Use the worked steps to check your method, not just the final answer.

Your turn

Question 1

What fraction of the rectangle is shaded? Give your answer in simplest form.

6 of 7 equal parts shadedEach part has the same area.
Check answer
Count shaded parts over all equal parts.
Question 2

What fraction of the rectangle is shaded? Give your answer in simplest form.

7 of 8 equal parts shadedEach part has the same area.
Check answer
Count shaded parts over all equal parts.
Question 3

What fraction of the rectangle is shaded? Give your answer in simplest form.

7 of 9 equal parts shadedEach part has the same area.
Check answer
Count shaded parts over all equal parts.
Question 4

What fraction of the rectangle is shaded? Give your answer in simplest form.

6 of 10 equal parts shadedEach part has the same area.
Check answer
Count shaded parts over all equal parts.
Question 5

What fraction of the rectangle is shaded? Give your answer in simplest form.

4 of 11 equal parts shadedEach part has the same area.
Check answer
Count shaded parts over all equal parts.
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