Free & Instant
Ratio Calculator
Simplify ratios to their lowest terms instantly.
Ratio Calculator
Calculate and simplify ratios instantly.
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Simplified Ratio
0 : 0What is a Ratio?
A ratio compares two quantities, showing how many times one value contains or is contained within the other. Ratios are typically expressed in their simplest form, such as 2:3 instead of 4:6.
Ratio Simplification Formula
Simplified Ratio = a/GCD(a,b) : b/GCD(a,b)
Example: 8:12 simplifies to 2:3
Frequently Asked Questions
How is a ratio simplified?
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Both numbers in the ratio are divided by their greatest common divisor (GCD), reducing them to the smallest whole numbers that maintain the same proportion.
Can I use decimal numbers in a ratio?
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This calculator works best with whole numbers for exact simplification. For decimals, consider converting to whole numbers first by scaling both values.
Where are ratios commonly used?
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Ratios are used in cooking recipes, scale models, financial analysis (like debt-to-income ratio), and mixing solutions in chemistry.