Calculators Lab
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Ratio Calculator

Simplify any ratio and scale it to exactly what you need.

Adjust your inputs

Results update instantly as you type or drag.

11,000,000
11,000,000
11,000,000

Enter a target value for A to find scaled B

Quick insights

Simplified B

2

Scaled B (for given A)

6

Quick answer

How do you simplify a ratio?

Divide both numbers by their greatest common divisor (GCD). 12:8 simplifies to 3:2 (÷4).

How it works

From inputs to result in four steps

A quick walkthrough of what this calculator does behind the scenes.

  1. 1

    Enter two values (A and B).

  2. 2

    Optionally enter a target scale to find the equivalent.

Formula

The math behind the number

No black box — here's exactly how the result is computed.

Formula

GCD(a, b) = GCD(b, a mod b) [Euclidean algorithm]
Simplified ratio = A ÷ GCD : B ÷ GCD
Equivalent (scaled by n) = A×n : B×n

Examples

Real-world scenarios

See how the numbers play out for typical use cases.

Scenario 1

Recipe scaling

Recipe ratio 2:3 (oil:flour). To make 500g flour: oil = 500 × (2÷3) = 333g.

Scenario 2

Screen resolution

1920:1080 simplifies to 16:9.