Dividing in a Given Ratio

Dividing an amount in a given ratio is one of the most common question types on the AQA GCSE Mathematics papers. You must be able to share amounts between two or more parts, work backwards from a known share, and handle three-part ratios confidently.

---

Sharing an Amount in a Given Ratio

To divide (share) an amount in a given ratio, follow this method:

1. Add the parts of the ratio together to find the total number of parts.
2. Divide the total amount by the total number of parts to find the value of one part.
3. Multiply each ratio number by the value of one part.

Worked Example 1

Divide 240 in the ratio 3 : 5.

Step	Calculation	Result
Total parts	3 + 5	8
Value of one part	240 / 8	30
First share	3 x 30	90
Second share	5 x 30	150

Check: 90 + 150 = 240 (correct)