Ratio Calculator

Simplify · Scale · Solve missing value · Split a total

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Result
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Step-by-step working

Frequently Asked Questions

How do you simplify a ratio?+
Divide both parts by their GCD. Example: 12:18 → GCD = 6 → 12÷6 : 18÷6 = 2:3.
How do you divide a number in a given ratio?+
Add ratio parts to get total parts. Divide the total by total parts. Multiply. Example: Divide 100 in 2:3 → total = 5 → one part = 20 → shares = 40 and 60.
How do you find a missing value in equivalent ratios?+
Cross multiply: if a:b = c:d then d = b×c/a. Example: 3:4 = 9:? → 4×9/3 = 12.
What is the difference between a ratio and a fraction?+
A fraction represents part of a whole (3/4 = 3 of 4 equal parts). A ratio compares two quantities (3:4 = for every 3 of one there are 4 of another). A ratio can compare more than 2 things (e.g. 1:2:3), while fractions typically don't.