AI generatedNumberKS3 / GCSE

Fractions greater than one

When the numerator is greater than the positive denominator, the fraction is greater than 1.

  • When the numerator is greater than the positive denominator, the fraction is greater than 1.
  • Each complete group of denominator parts makes one whole.
  • Divide the numerator by the denominator. The quotient is the whole part and the remainder is the new numerator.

Example 1

Explain why this fraction is greater than 1, then write it as a mixed number.

The numerator contains whole groups of 5.Each full group makes one whole.

Example 2

Explain why this fraction is greater than 1, then write it as a mixed number.

The numerator contains whole groups of 6.Each full group makes one whole.

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

Your turn

Question 1

Explain why this fraction is greater than 1, then write it as a mixed number.

Check answer
The numerator contains whole groups of 7.Each full group makes one whole.

The numerator, 20, is greater than the denominator, 7.

Question 2

Explain why this fraction is greater than 1, then write it as a mixed number.

Check answer
The numerator contains whole groups of 8.Each full group makes one whole.

The numerator, 23, is greater than the denominator, 8.

Question 3

Explain why this fraction is greater than 1, then write it as a mixed number.

Check answer
The numerator contains whole groups of 9.Each full group makes one whole.

The numerator, 25, is greater than the denominator, 9.

Question 4

Explain why this fraction is greater than 1, then write it as a mixed number.

Check answer
The numerator contains whole groups of 10.Each full group makes one whole.

The numerator, 36, is greater than the denominator, 10.

Question 5

Explain why this fraction is greater than 1, then write it as a mixed number.

Check answer
The numerator contains whole groups of 11.Each full group makes one whole.

The numerator, 37, is greater than the denominator, 11.