Math Calculators
Ratio Calculator
Simplify, scale, and solve ratios with ease.
What is the Ratio Calculator & How does it work?
A ratio compares magnitudes across distinct dimensions. Simplification cuts components down to their lowest integer values via Greatest Common Divisors ($MCD$), while scaling expands proportions across a constant factor.
$$A:B = C:D$$
Proportion equivalence where internal cross-multiplication maintains parity.
Parameters
Leave exactly one field blank to solve for its value ($A : B = C : D$).
Simplified Form
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Scaled Form
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Frequently Asked Questions
How do I simplify a ratio?
To simplify a ratio, divide both numbers by their greatest common divisor until they are in lowest terms.
Can this calculator handle decimal ratios?
Yes, you can input decimal numbers, and the calculator will convert them to simplified fractions.
What is cross-multiplication in ratios?
Cross-multiplication involves multiplying the numerator of one ratio by the denominator of the other to check for proportionality.
How do I scale a ratio up or down?
To scale a ratio, multiply both terms by the same constant factor to maintain the proportion.
Can this calculator solve for missing values in ratios?
Yes, if you have three values and one unknown, input the knowns and the calculator will solve for the missing value.
What is a greatest common divisor (GCD)?
The GCD is the largest number that divides both terms of a ratio without leaving a remainder.
How do I use this calculator for real-world problems?
Enter your ratio values into the calculator, choose whether to simplify or scale, and it will provide the equivalent proportion.
Results are for informational purposes only and do not constitute professional advice.