Ratio & proportion tools
How to Calculate a Ratio
Four steps, one worked example, no detours.
The four steps
Method
- Identify the two quantities you are comparing and the order they belong in.
- Put them in the same unit — 500 g and 1 kg is 500:1000, not 500:1.
- Write them as A:B.
- Divide both parts by their greatest common divisor to simplify.
Worked example: 12 and 18
Twelve and eighteen are already in the same unit, so the ratio is 12:18. Their greatest common divisor is 6, so dividing both parts gives 2:3. There are five total parts, meaning the first quantity is 40% of the whole and the second is 60%.
Checking your answer
Multiply the simplified ratio back up: 2 × 6 = 12 and 3 × 6 = 18. If both parts return to the original numbers with the same multiplier, the ratio is correct.