Ratio & proportion tools
Three-Part Ratio Calculator
Simplify a three-part ratio, see each share of the whole and split a total three ways.
Exact result
200 · 300 · 500
20% : 30% : 50% · 10 total parts
- Total parts
- 10
- Simplest form
- 2 : 3 : 5
- One part
- 100
Same engine, purpose-built layout
This calculator runs the same exact rational engine as every other SnapRatios tool — there is no special three-part mathematics. What it adds is a workflow: three labelled inputs instead of a colon-separated string, and three simultaneous outputs laid out side by side so you can read every share at once and check that they sum back to the total.
Worked example: 2:3:5
£1,000 divided 2:3:5
Total parts: 2 + 3 + 5 = 10.
One part: £1,000 ÷ 10 = £100.
Shares: 2 × £100 = £200, 3 × £100 = £300, 5 × £100 = £500.
Percentages: 20%, 30%, 50%. Check: £200 + £300 + £500 = £1,000.
| Part | Parts | Share of whole | Of £1,000 |
|---|---|---|---|
| A | 2 | 20% | £200 |
| B | 3 | 30% | £300 |
| C | 5 | 50% | £500 |
| Total | 10 | 100% | £1,000 |
Three outputs matter together here: no single share is meaningful without the other two.
The method does not stop at three
Add a fourth term and nothing changes. 2:3:5:10 has 20 total parts, so one part of £1,000 is £50 and the shares are £100, £150, £250 and £500 — still 10%, 15%, 25% and 50%. Simplification also generalises: the greatest common divisor is taken across all parts at once, so 4:6:10 reduces to 2:3:5 and 4:6:10:20 reduces to 2:3:5:10.
For four or more terms, type the full ratio into the main workbench. Three parts get their own page only because that is where a dedicated layout stops being clutter and starts saving a step.