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Ratio and Proportion Calculator

Simplify a ratio, find an equivalent ratio, solve a proportion, or interpret parts of a whole.

Your inputs

Nonnegative integer parts for simplification; real nonnegative c for scaling. The original first term must be positive to solve from c.

Your calculation

Result

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How to use this calculator

Choose a mode and enter the ratio parts. Scaling and proportion both solve for the second term of the equivalent ratio.

Formula and method

a:b = c:x gives x = bc/a; a simplified integer ratio divides both terms by their greatest common factor.

Worked example

6:9 simplifies to 2:3; with c=12 the missing term is 18.

Assumptions and supported scope

Nonnegative integer parts for simplification; real nonnegative c for scaling. The original first term must be positive to solve from c.

Method references

Method and worked example checked against the calculator implementation. About our methods · Report a correction

Keep exploring

Try another calculator with clear working.

Percentage Calculator →

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