Ratio Calculator
The Ratio Calculator simplifies a ratio like 12:8 down to 3:2, and solves the missing term in a proportion such as 3:4 = 6:x. Useful for recipes, mixing, scaling and comparing proportions.
What this means
A ratio compares two quantities, like 3:4. Simplifying divides both parts by their greatest common factor. Solving a proportion finds the unknown term that keeps the two ratios equal.
How we calculate it
Formula
Simplify: A:B → (A ÷ g):(B ÷ g) where g = gcd(A, B). Solve: A/B = C/x → x = B × C ÷ A.Worked example
Simplify 12:8 and solve 3:4 = 6:x:
- 1gcd(12, 8) = 4, so 12:8 = 3:2
- 2x = 4 × 6 ÷ 3 = 8
Important assumptions
- Ratios are assumed to be positive for simplification.
Frequently asked questions
What is the simplest form of a ratio?
When the two numbers share no common factor greater than 1. For example, 3:2 cannot be reduced further.
How do I scale a recipe ratio?
Multiply both parts by the same number. If the recipe is 2:3 and you double it, it becomes 4:6.
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