What is ratio simplification?

Ratio simplification reduces a ratio to its simplest form by dividing both numbers by their Greatest Common Divisor (GCD). For example, 12:18 simplifies to 2:3.

What is the GCD algorithm?

The Euclidean algorithm repeatedly divides and takes remainders until reaching 0. GCD(12, 18): 18 mod 12 = 6, then 12 mod 6 = 0, so GCD = 6.

What does 1:x form mean?

The 1:x form scales the ratio so the first number becomes 1. Example: 2:3 becomes 1:1.5, meaning for every 1 unit of the first, there are 1.5 units of the second.

How do I convert a ratio to a percentage?

Divide the first number by the second and multiply by 100. A ratio of 3:4 equals 3÷4 = 0.75 = 75%.

Ratio Simplifier

Free ratio simplifier calculator. Reduce ratios to simplest form using GCD, view decimal and percent values, and equivalent scales.

Simplify any ratio to its lowest terms and see equivalent scales.

GCD (a, b) via Euclidean algorithm

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