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Ratio & Proportion Calculator

Simplify a whole-number ratio or find the missing fourth value in a proportion.

Your numbers

Make it your own
Simplified ratio
2:3

Calculated from your inputs · rounded for display

Decimal ratio0.66666667

Your calculation, step by step

No black boxes
  1. Greatest common divisor = 6.
  2. Divide both sides by 6: 2:3.

How to use this calculator

  1. Enter your own values in the labeled fields. Check the units and assumptions before comparing results. Only the fields needed for your selected calculation mode are shown.
  2. Your answer updates automatically. Review the calculation steps to see exactly how it was calculated.
  3. Copy, share, save, or download your result. Saved inputs stay on this device.

How the calculation works

Simplify using gcd(a,b); proportion x = b × c / a

A ratio expresses a comparison using a shared scale. Whole-number simplification divides both terms by the greatest common divisor. Proportion mode instead uses cross multiplication to solve a/b = c/x. Match the meaning and units of each pair before applying the relationship.

A worked example

12:18 simplifies by dividing both terms by 6, giving 2:3. For 2/3 = 8/x, x = 12.

Reading your result

Use the main result together with its units and supporting figures. Display values are rounded; calculations keep their underlying precision. A change in inputs or assumptions can change the answer. Compare the step-by-step working with your intended use before relying on an estimate.

Frequently asked questions

Can I simplify decimal ratios?

This version requires positive whole numbers in simplification mode.

Are zero denominators accepted?

No. The first numerator and denominator must be positive.

Sources & methodology

This calculator uses the mathematical identity and assumptions stated above. No current rates, prices, or external data are loaded. Conversion tools use international unit definitions.

Formula review: October 24, 2026. Read our methodology.