This ratio calculator combines three common tasks: reducing an integer ratio to lowest terms, generating an equivalent ratio at a chosen scale, and solving one missing term in a : b = c : d. The result also shows a greatest common divisor, decimal and percentage views, quick multiples, or cross products, so you can check the work instead of receiving one isolated number.
It is useful for classroom practice, scaling and mixture problems, recipes, map or model scales, and straightforward numerical checks. For arithmetic with fractions, use the fraction calculator. If you only need the greatest common divisor of two integers, use the GCF calculator.
12 : 18 to lowest terms.2 : 3 by a factor of 4.4 : 7 = x : 21.The page provides three modes:
Simplify Ratio finds the greatest common divisor and returns the lowest-term ratio.Equivalent Ratio simplifies the ratio, applies a positive integer scale factor, and lists the ×1 through ×5 multiples.Solve Proportion leaves one position blank in a : b = c : d and solves for it.It supports ratio simplification, equivalent-ratio scaling, and proportion solving.
No. Those modes require integer terms; proportion mode accepts ordinary numeric values.
Leave exactly one of a, b, c, or d blank, enter valid values in the other three fields, and the page solves it by cross multiplication.
The second term cannot be zero in simplify or equivalent mode, and completed proportion values b and d cannot be zero.
Yes. Once the current mode has enough valid input, the result updates automatically, and the Calculate button runs the same logic manually.
Simplify integer ratios, scale equivalent ratios, and solve one missing term with ordinary numeric values in a proportion.