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Ratio Calculator

Simplify ratios and scale either side while keeping the same proportion.

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Version 1.0.0 · Last reviewed

Tool

Result

Live output from your inputs

Enter values and calculate to see results.

How it worksShow guide

Introduction

Simplify a ratio and scale either side so recipes, maps, and mixtures stay proportional.

Formula

Simplify a ratio by dividing both parts by their greatest common divisor, and scale either side proportionally.

a:b=agcd(a,b):bgcd(a,b)a:b = \frac{a}{\gcd(a,b)}:\frac{b}{\gcd(a,b)}
  • a First quantity
  • b Second quantity

Step-by-step

  1. Enter both parts of the ratio.
  2. Choose which side to scale to a target value.
  3. Enter the target value for that side.
  4. Read the simplified and scaled ratio.

Worked example

2:6 simplifies to 1:3. Scaling B to 9 gives A = 3.

Use cases

  • Scale a recipe up or down
  • Simplify mixing ratios
  • Resize dimensions while keeping proportion

Frequently asked questions

Can I use decimals?

Yes. Both whole numbers and decimals work.

What does scale side mean?

If you set scale side to B and scale-to 9, B becomes 9 and A is adjusted to keep the same ratio.

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Version 1.0.0 · Last updated: