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Ratio Calculator

Solved Value
Simplified A:B
Proportion
Show the math
Enter values to see the worked formula.

What Your Result Means

How This Calculator Works

You fill in any three of the four fields (A, B, C, D) and leave one blank. The calculator uses cross-multiplication — A × D = B × C — to solve for the missing value. It also computes the GCD of A and B to produce a simplified ratio. If fewer than three values are provided, no solution is shown. Non-integer inputs are displayed as decimal ratios rather than simplified whole numbers.

Quick Questions

What is cross-multiplication?

If A/B = C/D, then A × D = B × C. This is the fundamental property of proportions. Rearranging this equation lets you solve for whichever value is missing.

Can I use decimals or fractions?

Yes, the calculator accepts decimal inputs. Fraction inputs need to be converted to decimals first (e.g., enter 0.5 instead of 1/2). The simplified ratio output works best with whole-number inputs.

What if I leave more than one field blank?

The calculator needs at least three values to solve for the fourth. With two or more blanks, there are infinite solutions, so no result is displayed.

When would I use a ratio calculator?

Common uses include scaling recipes, converting map distances to real distances, calculating ingredient proportions, resizing images, mixing paint colors, and solving proportion word problems in math class.

Sources

Method & review

MethodologyHow we calculate this Reviewed & Updated2026-04 Next review2027-04

Estimate only. Results reflect your inputs and standard formulas. Double-check important decisions independently.