Ratio Calculator
Simplify ratios, compare equivalent ratios, and solve proportions such as a:b = c:x.
Ratio Calculator
Answer
3:4; if 18:24 = 12:x, x = 16
- Original ratio: 18:24
- Simplified ratio: 3:4
How to use the ratio calculator
The ratio calculator reduces two-part ratios to lowest terms and solves missing proportion values using cross multiplication.
- Enter the two numbers in the ratio.
- Optionally enter a matching known value to solve a proportion.
- Read the simplified ratio and the cross-multiplication step.
Formula or method
a:b = c:x -> a * x = b * c -> x = (b * c) / a.
Worked examples
Simplify a ratio
Problem: 18:24
Solution: GCF is 6, so 18:24 reduces to 3:4.
Solve a proportion
Problem: 3:4 = 12:x
Solution: x = 4 * 12 / 3 = 16.