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Ratio Calculator

Simplify ratios into their lowest integer terms using Greatest Common Divisors.

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How this calculator works

Input two values to compute their simplified fractional or integer ratio relationship.

Method
Common decimal scaling followed by greatest-common-divisor reduction
Source
OpenStax Prealgebra 2e — Ratios and Rate
Last reviewed
2026-08-25
Method limitations
  • Both terms must be positive and no more than 1,000,000.
  • Inputs support at most six decimal places.
  • This calculator simplifies two-term ratios; it does not solve a missing term in a proportion.

Engine-backed example

Simplify a decimal ratio: worked example

What is 4.8 : 11.2 in lowest whole-number terms?

Value A
4.8
Value B
11.2
Simplified Ratio3 : 7
Common scale
10×
Scaled GCD
16
A ÷ B
0.428571

Multiply both terms by 10 to get 48 : 112, then divide both by their greatest common divisor, 16, to get 3 : 7.

Trust and review

Who created and reviewed this calculator?

Author
CalcOS Editorial TeamResponsible for calculator explanations, examples, assumptions, and search-intent clarity.
Reviewed by
CalcOS Scientific ReviewTechnical review of common decimal scaling, greatest-common-divisor reduction, positive-value boundaries, precision, engine parity, and narrative examples.
Substantive review date
2026-08-25Two-term positive ratios, terminating decimals up to six places, common scaling, GCD reduction, display precision, worked-example parity, and separation from proportion solving.

Sources

Assumptions used by this calculator
  • Both terms are positive finite quantities no greater than 1,000,000.
  • Each input has no more than six decimal places.
  • Both values are multiplied by the same power of ten before integer GCD reduction.
  • The result compares two quantities only; it does not solve an unknown proportion term.
  • Measurement-unit conversion and three-term ratios remain separate jobs.