Ratio Calculator
Calculate ratios, proportions, and scale with our comprehensive ratio calculator. Simplify ratios, solve proportion problems, and find missing values with step-by-step solutions.
Simplify Ratio
Enter two or more numbers to simplify the ratio:
Solve Proportion
Find the missing value in a proportion (a:b = c:d):
Enter 'x' for the unknown value
Scale Calculator
Calculate scale ratios for maps, models, or drawings:
How to Use the Ratio Calculator
Simplifying Ratios
To simplify a ratio, enter the numbers separated by colons. The calculator will find the greatest common divisor (GCD) and reduce the ratio to its simplest form.
Solving Proportions
A proportion states that two ratios are equal. Enter three known values and 'x' for the unknown value. The calculator uses cross multiplication to solve for x.
Scale Calculations
Scale ratios are used in maps, blueprints, and models. Enter the actual size and the scaled size to find the scale ratio.
Ratio and Proportion Formulas
- Ratio Simplification: Divide all terms by their GCD
- Cross Multiplication: If a:b = c:d, then a×d = b×c
- Scale Ratio: Model Size : Actual Size
- Unit Rate: Ratio with denominator of 1
Related Calculators
- Percentage Calculator - Convert ratios to percentages
- Fraction Calculator - Work with fractions and ratios
- Math Calculators - More mathematical tools