Ratio Calculator
Simplify a ratio to lowest terms or solve a proportion for a missing term. Handles A:B and A:B = C:x.
Independently verified for accuracy
Calculator by Toolsloft ↗- Simplified ratio
- 3:4
- As a decimal
- 0.75
Work with ratios two ways. Simplify a ratio like 18:24 down to its lowest terms, or solve a proportion when one of the four terms is missing, such as 2:3 = 10:x. Useful for scaling recipes, mixing ratios, maps, and model builds.
How this is calculated
Simplifying divides both sides of a whole-number ratio by their greatest common divisor, found with the Euclidean algorithm. Solving a proportion uses cross multiplication: for A:B = C:x, the missing term x equals B times C divided by A.
How to use
- Choose simplify or solve a proportion.
- Enter the known terms.
- Read the simplified ratio or the missing value.
Examples
- Simplify:
18:24 simplifies to 3:4 - Solve:
2:3 = 10:x gives x = 15
FAQ
- How do I simplify a ratio?
- Divide both numbers by their greatest common divisor. For 18:24 that divisor is 6, so the ratio reduces to 3:4.
- How does solving a proportion work?
- For A:B = C:x the tool cross multiplies, so x equals B times C divided by A. With 2:3 = 10:x you get 3 times 10 divided by 2, which is 15.
- Why does simplify need whole numbers?
- The greatest common divisor is defined for integers. If your terms have decimals, scale them up to whole numbers first, or use the solve mode.