Ratio Calculator

Solve proportions (A:B = C:?) and simplify ratios to lowest terms.

Fill in 3 values and leave the unknown blank

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Enter values to solve or simplify a ratio

Ratio Calculator

A ratio expresses the relationship between two quantities. The proportion A:B = C:D means that A×D = B×C (the cross-multiplication property). This calculator solves for any one missing term when the other three are known.

You can also simplify a ratio to its lowest terms by dividing both sides by their greatest common divisor (GCD). Ratios appear everywhere — in recipes, maps, finance, architecture, and mathematics.

How it works

A : B = C : D ⟹ A × D = B × C. To solve for a missing term, rearrange: e.g., D = (B × C) / A. To simplify A : B, divide both by GCD(A, B).

Use cases

  • Scaling recipes up or down
  • Solving proportion problems in math class
  • Determining map or blueprint scales
  • Mixing paint, cement, or chemical solutions in given ratios

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