Ratio Calculator
Simplify, scale, and compare ratios. Convert ratios to percentages and handle three-way ratios.
A ratio calculator simplifies, scales, and compares ratios, converts ratios to percentages, and handles three-way ratios (A:B:C) across multiple modes.
Examples
Simplify 12:18
GCD(12,18)=6 → 2:3
Scale 2:3, New A=10
10:15
Frequently Asked Questions
What is the relationship between GCD and LCM?
GCD(a,b) × LCM(a,b) = |a×b|.
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Quick Tips
- •Use the simplify mode to reduce ratios to their lowest terms before comparing.
- •Double-check your inputs — small errors in numbers lead to large errors in results.
- •Convert a ratio to a percentage to quickly understand proportional shares.
A ratio calculator simplifies, scales, and compares ratios, converts ratios to percentages, and handles three-way ratios (A:B:C) across multiple modes.
How to Use This Calculator
Select a mode: simplify a ratio, scale it, compare two ratios, convert a ratio to a percentage, or work with three-way ratios (A:B:C). Enter the values requested for that mode. Click Calculate to see the result.
Understanding the Formula
Simplify using GCD. Scale: New B = (New A / A) × B. Ratio to %: A/(A+B)×100.
Examples
Simplify 12:18
GCD(12,18)=6 → 2:3
Scale 2:3, New A=10
10:15
Frequently Asked Questions
What is the relationship between GCD and LCM?
GCD(a,b) × LCM(a,b) = |a×b|.
Assumptions & Limitations
- Assumes exact input values — rounding errors in the inputs will propagate to the result.
- Ratios must have positive, non-zero components.
- Limited to real numbers; complex number operations are not supported.