math
Ratio Calculator
Simplify a ratio to lowest terms or solve a proportion a : b = c : x.
Simplified ratio
2 : 3
Both terms divided by their greatest common divisor.
How it works
- 1Choose to simplify a ratio or solve a proportion.
- 2Simplify divides a : b by their greatest common divisor.
- 3Solve finds x in a : b = c : x using x = (b × c) ÷ a.
Use cases
- Reduce a ratio like 4 : 6 to 2 : 3.
- Scale a recipe or mixture to a new amount.
- Find a missing term in a proportion.
Frequently asked questions
How do you simplify a ratio?
Divide both terms by their greatest common divisor. For example, 4 : 6 simplifies to 2 : 3.
How do you solve a proportion?
For a : b = c : x, cross-multiply to get x = (b × c) ÷ a.
Can ratios use decimals?
Simplifying uses whole numbers, while solving a proportion accepts any numbers for a, b, and c.
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