Scale equivalent ratio
Result updated. Simplified ratio: 3:2.
Ratio result
Main result from the values entered.
Simplified ratio
12:8 simplifies to 3:2.
Ratio values should be greater than zero.
How this ratio calculator works
Enter two or more ratio values and the calculator reduces them to a simpler equivalent ratio where possible. It also supports optional scaling when you know one value and want the matching equivalent values.
Simplifying ratios
Whole-number ratios are divided by their common factor. Practical decimal ratios are converted to whole numbers first, then simplified so the displayed ratio stays easy to compare.
Scaling equivalent ratios
To scale a ratio, turn on the scaling section, choose which part has a known value, and enter that value. The calculator applies the same scale factor to every part of the simplified ratio.
Ratio vs fraction
A two-part ratio can sometimes be written as a fraction, but a ratio usually describes relative parts. Use the Fraction Calculator when you need fraction arithmetic such as adding or dividing fractions.
What this calculator does not include
This calculator does not solve algebraic proportions, convert measurement units or interpret ratios for a specific recipe, design, financial or legal context. It only works from the numbers entered.
Key terms and assumptionsShort notes about positive values, simplification, scaling and readable ratio limits.
- Positive values
- Ratio values should be greater than zero so simplification and scaling stay clear.
- Simplifying ratios
- The calculator converts practical decimal values to integers, finds the common factor and reduces the ratio.
- Scaling ratios
- Scaling uses one known part to calculate an equivalent ratio with the same proportions.
- Readable limits
- This calculator supports up to five ratio parts and six decimal places to avoid unwieldy results.
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FAQs
What does this ratio calculator do?
It simplifies ratio values and can scale an equivalent ratio from one known value.
How do I simplify a ratio?
Enter two or more positive ratio values. The calculator divides them by their common factor where possible.
Can I use more than two ratio parts?
Yes. This calculator supports up to five ratio parts so the result stays readable.
How does scaling a ratio work?
Choose which part has a known value, enter that value, and the calculator multiplies the simplified ratio by the matching scale factor.
Can a ratio include zero?
This calculator expects positive values. A zero ratio part can make scaling and simplification ambiguous.
Can I enter decimal ratio values?
Yes. Decimal values are supported within practical precision limits and are converted before simplification.
Is a ratio the same as a fraction?
A two-part ratio can often be compared with a fraction, but ratios commonly describe relative parts rather than one numerator over one denominator.
Can I copy the result?
Yes. The simplified ratio and scaled values can be copied.