FRACTIONS, DECIMALS AND PERCENTAGES

Mixed Numbers

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

1 · WHAT YOU NEED TO KNOW

The idea

A mixed number combines a whole number with a proper fraction.

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. Divide the numerator by the denominator.
  2. Use the quotient as the whole number.
  3. Write the remainder over the original denominator.
3 · WORKED EXAMPLES

See the method in action

Example 1

Write 91/9 as a mixed number.

  1. 91 ÷ 9 = 10 remainder 1, so the mixed number is 10 1/9.
Answer: 10 1/9
Example 2

Which mixed number is equal to 19/3?

  1. 19 ÷ 3 = 6 remainder 1, so the mixed number is 6 1/3.
Answer: 6 1/3
4 · ELEVENSPRINT TIP

A useful shortcut

Write the remainder over the original denominator.

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.