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Ratio Calculator

Simplify ratios, solve proportions, and scale ratios. Convert between ratios, decimals, and percentages.

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How to Use Ratios

Ratios compare two or more quantities. This calculator helps simplify, solve, and scale ratios.

Simplify Mode

Enter two numbers to reduce the ratio to lowest terms. For example, 15:25 simplifies to 3:5.

Solve for X

Find the missing value in a proportion. If 2/3 = 4/X, then X = 6.

  • Enter values for A, B, and C
  • Calculator finds X using: X = (B × C) ÷ A

Scale to Total

Divide a total amount by a ratio. For example, split $100 in ratio 2:3:

  • Total parts = 2 + 3 = 5
  • First share = (2/5) × 100 = $40
  • Second share = (3/5) × 100 = $60

Common Uses

  • Mixing ingredients in recipes
  • Scaling maps and blueprints
  • Calculating aspect ratios
  • Splitting costs or profits

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Frequently Asked Questions

How do I simplify a ratio?

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

How do I solve for X in a proportion?

Cross multiply: if A/B = C/X, then X = (B × C) ÷ A.

What is the difference between ratio and proportion?

A ratio compares two values (2:3). A proportion states two ratios are equal (2:3 = 4:6).

How do I convert a ratio to percentage?

Divide the first number by the second, then multiply by 100. For 3:4, that's 3÷4 = 0.75 = 75%.