Ratio Calculator
Simplify ratios, find equivalent ratios, scale ratios up or down, and solve for missing values in proportions.
Simplify a Ratio
How to Use This Ratio Calculator
Simplify — Reduce a ratio to its lowest terms by dividing both values by their GCD.
Equivalent Ratios — Generate a table of equivalent ratios by multiplying both parts by the same factor.
Scale — Distribute a total quantity in a given ratio. For example, split 100 in ratio 2:3 → 40 and 60.
Proportion — Solve A:B = C:D for any one missing value using cross-multiplication.
Frequently Asked Questions
Divide both values by their Greatest Common Divisor (GCD). For example, 12:8 → GCD(12,8)=4 → 3:2.
A proportion states that two ratios are equal: A:B = C:D. If three values are known, the fourth can be found using cross-multiplication: A × D = B × C.
Add both parts of the ratio together, then divide the total by the sum to get each part. Example: split 100 in 2:3 → total parts = 5 → A = 40, B = 60.
Equivalent ratios have the same simplified form. You can create them by multiplying both parts by the same number. Example: 1:2, 2:4, 3:6 are all equivalent.
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