FRACTIONS, DECIMALS AND PERCENTAGES

Fractions And Decimals

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

1 · WHAT YOU NEED TO KNOW

The idea

Fractions and decimals can be compared once they are written in the same representation.

Picture itSee each decimal digit hold its place
Bowls, fruit, scales and a measuring jug showing ratio and measurement in baking
2 · THE METHOD

Follow these steps

  1. Divide numerator by denominator to make a decimal, or use a known equivalence.
  2. Compare or calculate using the common representation.
  3. Give the answer in the form requested.
3 · WORKED EXAMPLES

See the method in action

Example 1

Which decimal completes 7/10 = □?

  1. 7 ÷ 10 = 0.7.
  2. This exact decimal is obtained by dividing the numerator by the denominator.
Answer: 0.7
Example 2

A route section is 5/8 km long. Convert its length to metres.

  1. First, 5 ÷ 8 = 0.625.
  2. 0.625 km × 1,000 = 625 metres.
Answer: 625 metres
4 · ELEVENSPRINT TIP

A useful shortcut

Give the answer in the form requested.

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.