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Four ratio tasks in one page

Ratio Calculator

Simplify or scale a two- or three-term ratio, solve one missing proportion value, or split a total into proportional shares.

Choose a ratio task

Enter two terms, or add an optional third. Non-negative decimals are supported.

Result

Choose a task and enter the values.

What this ratio calculator does

Simplify a ratio

Scales decimal terms to whole numbers and reduces every term by their greatest common factor.

Scale an equivalent ratio

Multiplies every term by the same factor while preserving the relationship.

Solve a proportion

Uses equal cross-products in A:B = C:D to find exactly one missing term.

Split two or three ways

Divides a total by all ratio parts, then assigns the matching number of parts to each share.

Ratio formulas with examples

Simplifying 12:18

The greatest common factor is 6. Divide both terms by 6: 12:18 = 2:3.

Scaling 2:3 by 4

Multiply both terms by 4 to keep the relationship equal: 2:3 = 8:12.

Solving 3:6 = 4:x

Equal cross-products give 3x = 24, so x = 8.

Splitting 120 in the ratio 1:2:3

There are 6 total parts. Each part is 20, so the shares are 20, 40, and 60.

Sources and method

ToolNeko applies standard ratio and proportion operations, then shows the equation used for the result.

Frequently asked questions

How do I simplify a ratio?

Convert all terms to whole numbers if needed, find their greatest common factor, and divide every term by it. For example, 12:18 simplifies to 2:3.

Can I simplify a ratio with decimals?

Yes. The calculator first scales all entered decimal terms into whole numbers, then reduces them by their greatest common factor.

How do I make an equivalent ratio?

Multiply every term by the same positive scale factor. For example, scaling 2:3 by 4 gives the equivalent ratio 8:12.

How do I solve a proportion?

Enter three values in A:B = C:D and leave exactly one field blank. The calculator uses equal cross-products to solve the missing term.

How do I divide a total in a ratio?

Add all ratio parts, divide the total by that sum, then multiply by each part. A total of 120 split 1:2:3 gives 20, 40, and 60.

Does order matter in a ratio?

Yes. The first and second terms identify different quantities. Reversing 2:3 to 3:2 reverses their relationship and the shares assigned to each side.