📐 Math

Ratio Calculator

Simplify ratios to their lowest terms or solve proportions for missing values.

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Formula

A : B = C : D
A, B
Known ratio pair
C, D
Proportional pair (one is unknown)

Example

Solving a Proportion

Find the missing value x in the ratio 3 : 5 = 12 : x.

  1. Set up the proportion as fractions: 3/5 = 12/x
  2. Cross-multiply: 3 × x = 5 × 12
  3. Simplify: 3x = 60
  4. Divide by 3: x = 20
  5. Result: x = 20

Frequently Asked Questions

A ratio is a relationship between two numbers indicating how many times the first number contains the second.
Divide both numbers in the ratio by their Greatest Common Divisor (GCD). For example, 20:30 simplifies to 2:3 because both are divisible by 10.
A proportion is an equation that says two ratios are equivalent, like 2:3 = 4:6.

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