Ratio Calculator

Simplify ratios and solve proportions in seconds.

Simplified Ratio-
As a Decimal (A ÷ B)-
D-
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What Is a Ratio Calculator?

A ratio compares two quantities. This tool simplifies any ratio A:B down to its lowest terms, and solves proportions of the form A:B = C:D — useful for recipe scaling, map scales, mixing solutions, and word problems.

A B
A ratio compares the length (or size) of two quantities side by side.

Formulas

Simplify: divide A and B by their GCF
Proportion: D = (B × C) ÷ A

How to Use This Calculator

  1. To simplify: enter A and B, then click "Simplify Ratio".
  2. To solve a proportion: enter A, B, and C in the second section, then click "Solve for D".

Worked Example

Example 1: 8:12 simplifies to 2:3 (dividing both by their GCF of 4).
Example 2: If 2:5 = 10:D, then D = (5 × 10) ÷ 2 = 25.

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Frequently Asked Questions

How does this simplify ratios?

It divides both numbers by their greatest common factor to express the simplest whole-number ratio.

How is an equivalent ratio found?

Multiply or divide both numbers by the same value.

How is a ratio different from a fraction?

A ratio compares two quantities; a fraction typically represents a part of a whole.

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