Simplify
\(12 : 18 = 2 : 3\) (divide by GCD = 6)
Ratio Calculator
Calculate and simplify ratios with step-by-step solutions
Results
Enter values and click Calculate to see the result.
Ratios and Proportions
A ratio compares two or more quantities. Ratios can be simplified, scaled, or used to divide quantities proportionally.
Key Concepts:
- Simplifying: Divide all terms by their GCD
- Equivalent Ratios: Multiply or divide all terms by the same number
- Proportion: An equation stating two ratios are equal: a:b = c:d
- Cross Multiplication: If a/b = c/d, then a×d = b×c
Applications:
- Recipe scaling and cooking
- Map scales and distances
- Financial ratios and budgeting
- Mixing solutions and concentrations
- Speed, density, and other rates
Worked Examples
Equivalent
\(2 : 3 = 4 : 6 = 6 : 9\) (multiply by 2, 3)
Split Value
Split $100 in ratio \(2:3 \rightarrow\) $40 and $60