Ratio Calculator
Simplify ratios, compute proportional relationships, and generate equivalent ratios
Calculator
Enter two values to simplify their ratio or generate an equivalent proportional ratio.
About the Ratio Calculator
The Ratio Calculator helps you simplify ratios, generate equivalent ratios, and analyze proportional relationships—tasks commonly encountered in engineering design, material mixing, mechanical systems, and technical problem-solving. Ratios allow engineers to compare quantities, scale models, interpret performance metrics, and maintain precise proportionality across systems.
What You Can Calculate
- Simplified Ratio (A:B): Reduces A and B to their smallest proportional form.
- Equivalent Ratios: Multiplies both values by a scale factor to maintain proportionality.
- Proportional Relationships: Helps compare physical quantities such as forces, loads, energy distribution, or material composition.
Formulas Used in the Calculator
The calculator applies standard proportional and number-theory concepts:
- Simplified Ratio: (A ÷ GCD(A,B)) : (B ÷ GCD(A,B))
- Equivalent Ratio: (A × k) : (B × k)
- Greatest Common Divisor (GCD): Used to reduce ratios to their simplest form.
How to Use the Calculator
- Enter values for A and B.
- The tool will automatically compute the simplified ratio.
- Optionally, enter a multiplier to generate an equivalent ratio.
Applications of Ratio Calculations
Ratios are fundamental in engineering analysis, including gear ratios, mixing ratios (concrete, alloys, fuels), scaling relationships, stress-strain comparisons, voltage divider circuits, and flow distribution in fluid systems. Accurate ratios ensure consistency in designs, enable proper scaling from prototypes to full-scale systems, and support comparative evaluations across engineering parameters.