Ratio Calculator
Simplify a ratio of two or more parts, express it as a unit ratio and split a total amount in that ratio.
Your inputs
Results
Simplified ratio
2 : 3 : 5
- As a unit ratio (first part = 1)
- 1 : 1.5 : 2.5
- Shares of the total
- 240 / 360 / 600
✓Exact calculation — rounded only for display
| Part | Share | Of total |
|---|---|---|
| 12 | 20% | 240 |
| 18 | 30% | 360 |
| 30 | 50% | 600 |
What this calculator does
Ratios compare quantities. Simplifying them and splitting amounts proportionally are everyday tasks in cooking, finance and design.
Formula and method
Simplify by dividing all parts by their GCD (after scaling decimals to integers). Share of total = part ÷ Σ parts × total.
Worked example
Calculated by this tool with its default inputs:
Inputs
- Ratio parts (e.g. 12, 18, 30 for 12:18:30): 12, 18, 30
- Split this total in that ratio (optional): 1200
Results
- Simplified ratio: 2 : 3 : 5
- As a unit ratio (first part = 1): 1 : 1.5 : 2.5
- Shares of the total: 240 / 360 / 600
How to read the results
A unit ratio expresses everything relative to the first part.
Assumptions and limitations
- Parts must be non-negative.
Questions
Can I use decimals?
Yes — 1.5 : 2.5 simplifies to 3 : 5.
Methodology and verification
- Result type
- Exact mathematical calculation (rounded only for display)
- Formula version
- 1.0
- Automated verification
- 3 reference and validation test cases, checked against independently computed values. The site cannot be built if any of them fail.
- Editorial review
- Awaiting human editorial review. The explanation was drafted with AI assistance; the formula and examples are verified by the automated tests above.
Privacy
Everything you enter is calculated in this browser and is not sent to Numerith or anyone else. Inputs are added to a share link only if you choose to include them. Privacy policy