RATIO AND PROPORTION

Sharing In A Ratio

Learn the reliable method for sharing in a ratio, then apply it to 11+ exam-style questions.

1 · WHAT YOU NEED TO KNOW

The idea

A ratio compares quantities in a fixed relationship. The order of the parts matters.

Picture itCompare each group in the same order
Bowls, fruit, scales and a measuring jug showing ratio and measurement in baking
2 · THE METHOD

Follow these steps

  1. Write the quantities in the order given.
  2. For sharing, add the ratio parts to find the total number of shares.
  3. Find one share, then multiply for each part.
one share = total ÷ sum of ratio parts
3 · WORKED EXAMPLES

See the method in action

Example 1

Share 1056 tiles in the ratio 4:7. What is the larger share?

  1. There are 11 parts, each worth 96; the larger share is 7 × 96 = 672.
Answer: 672
Example 2

Share 96 cards in the ratio 5:7. What is the larger share?

  1. There are 12 parts, each worth 8; the larger share is 7 × 8 = 56.
Answer: 56
4 · ELEVENSPRINT TIP

A useful shortcut

Add the ratio parts before sharing a total.

5 · COMMON MISTAKES

Watch out for these

Dividing by one ratio number

Divide the total by the sum of all ratio parts.

6 · TRY IT YOURSELF

Three fresh questions

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