Free Ratio Calculator
Simplify, compare, and scale ratios instantly. Find equivalent ratios and solve proportions.
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Simplify a Ratio
Scale Ratio
If A:B, and A =
Formula
Simplified Ratio: divide both parts by GCD — Scale: a/b = c/d → cross multiplyHow Ratios Work
A ratio compares two quantities. You can write it as A:B, A to B, or A/B. Simplifying a ratio means dividing both parts by their greatest common divisor (GCD) to get the smallest whole numbers.
Scaling Ratios
To scale a ratio, multiply or divide both parts by the same number. If the ratio is 2:3 and you need the first part to be 10, multiply both by 5 to get 10:15.
Frequently Asked Questions
How do I simplify a ratio?
Divide both parts by their greatest common divisor (GCD). For example, 12:18 → divide both by 6 → 2:3.
What's the difference between a ratio and a fraction?
A ratio compares two quantities (3:5 boys to girls). A fraction represents a part of a whole (3/8 of the class are boys). They're related but express different relationships.