Calculator Input
Example Data Table
| Input Ratio | Target Total | Simplified Ratio | Shares | Percentages | Allocated Values |
|---|---|---|---|---|---|
| 2:3:5 | 200 | 2:3:5 | 2/10, 3/10, 5/10 | 20%, 30%, 50% | 40, 60, 100 |
| 4:6:8 | 180 | 2:3:4 | 2/9, 3/9, 4/9 | 22.22%, 33.33%, 44.44% | 40, 60, 80 |
| 1.5:2.5 | 80 | 3:5 | 3/8, 5/8 | 37.5%, 62.5% | 30, 50 |
Formula Used
1) Simplifying the ratio
Convert decimal terms to scaled integers when needed, then divide every term by the greatest common divisor.
2) Fraction share of each term
Share of term i = termi / sum of all simplified terms.
3) Decimal and percentage conversion
Decimal share = termi / total ratio sum.
Percentage share = decimal share × 100.
4) Allocation from a target total
Allocated value = (termi / ratio sum) × target total.
5) Allocation from one known real part
Known scale = known value / known simplified term.
Actual term value = simplified term × known scale.
6) Equivalent ratio by custom scale factor
Scaled term = simplified term × scale factor.
7) Unit ratio relative to the first term
Unit comparison = current simplified term / first simplified term.
How to Use This Calculator
- Enter a ratio with at least two positive terms, such as 3:4 or 2:5:7.
- Add a target total if you want the calculator to split an amount across the ratio.
- Enter a known part position and its actual value if one real quantity is already known.
- Provide a scale factor to generate a custom equivalent ratio.
- Choose the decimal precision for displayed values.
- Press Submit to show results above the form.
- Review the table, equivalent ratios, and Plotly chart.
- Use the export buttons to save the results as CSV or PDF.
Frequently Asked Questions
1. What does this calculator convert?
It converts a ratio into simplified terms, fractions, decimal shares, percentage shares, equivalent ratios, and value allocations. It also estimates full distributions from one known real part.
2. Can I use decimal ratios?
Yes. Decimal terms are first scaled into whole numbers, then simplified. For example, 1.5:2.5 becomes 15:25 and simplifies to 3:5.
3. What is a target total?
A target total is the full amount you want divided by the ratio. If the ratio is 2:3 and the total is 50, the outputs become 20 and 30.
4. Why would I enter a known part value?
Use it when one ratio term already matches a real amount. The calculator finds the scale behind that term and applies it to every other term automatically.
5. What does unit ratio relative to the first term mean?
It compares each term with the first simplified term. If the simplified ratio is 2:3:4, then the later terms are 1.5:1 and 2:1 against the first.
6. Does the calculator always simplify first?
Yes. Simplification gives a clean base ratio. All share calculations, equivalent ratios, and allocations are then produced from that simplified version for consistency.
7. What if my ratio has many terms?
The page supports up to eight terms. That keeps the table readable, the chart clear, and the exported results easier to review.
8. What do the CSV and PDF buttons export?
They export the main results table shown after calculation. This includes original values, simplified terms, fractions, shares, allocations, and scaled outputs.