FRACTIONS, DECIMALS AND PERCENTAGES

Improper Fractions

Learn the reliable method for improper fractions, then apply it to 11+ exam-style questions.

1 · WHAT YOU NEED TO KNOW

The idea

An improper fraction has a numerator at least as large as its denominator.

Picture itCount equal parts of one whole
Bowls, fruit, scales and a measuring jug showing ratio and measurement in baking
2 · THE METHOD

Follow these steps

  1. Multiply the whole number by the denominator.
  2. Add the existing numerator.
  3. Keep the denominator unchanged.
3 · WORKED EXAMPLES

See the method in action

Example 1

Write 12 5/6 as an improper fraction.

  1. 12 × 6 + 5 = 77; keep denominator 6, giving 77/6.
Answer: 77/6
Example 2

Which improper fraction is equal to 7 1/8?

  1. 7 × 8 + 1 = 57; keep denominator 8, giving 57/8.
Answer: 57/8
4 · ELEVENSPRINT TIP

A useful shortcut

Keep the denominator unchanged.

5 · COMMON MISTAKES

Watch out for these

6 · TRY IT YOURSELF

Three fresh questions

Ready to check the method? You will get three fresh, validated questions.