Solve ratio problems including scaling, simplifying, and finding missing values in proportions.
The ratio calculator reduces two integers by their greatest common divisor, shows the corresponding decimal, and solves a proportion in the form A:B = C:?. Ratios compare quantities by division, so units should be compatible or clearly labeled before the numbers are interpreted.
A concrete input and expected output from the current implementation.
Input
Ratio 4:6 and equivalent ratio 10:?
Expected output
Simplified 2:3; missing value 15; decimal 0.6667
Dividing 4 and 6 by their greatest common divisor 2 gives 2:3. Preserving the proportion requires 10 x 6 / 4, which equals 15.
Removing the greatest common divisor preserves the quotient between the two quantities. A zero term needs special interpretation because the usual recursive divisor and division formulas can become undefined.
For A/B = C/D, multiplying both sides gives A x D = B x C. Solving for D gives C x B / A when A is nonzero.
Yes. Both terms in 4:6 can be divided by 2, and both ratios have the same decimal quotient.
Ratios can compare decimal quantities, but this tool is optimized for integer simplification. Multiply both terms by a power of ten first when an exact integer ratio is useful.
The example and behavioral notes were checked against the browser implementation. Standards and primary references below define the relevant format, formula, or platform behavior.
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