Ratio Calculator: Simplify, Scale and Share in a Ratio

Choose whether to simplify a ratio, find a missing value in a proportion, or divide a total between two parts. The answer updates as you type.

FreeNo sign-upRuns in your browserUpdated 2 Nov 2026
Solves A : B = C : X.
Your resultLive

Estimates only. Check important results before you rely on them.

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How to use this calculator

  1. Pick Simplify, Find X or Split a total.
  2. Enter A and B. These are the two parts of the ratio.
  3. For Find X enter C. For Split enter the total.
  4. Read the simplified ratio or the shares.

The formula

Simplify: divide A and B by their GCD. Find X: X = B × C ÷ A. Split: A's share = Total × A ÷ (A + B), B's share = Total − A's share.

Worked example

24 : 36 simplifies to 2 : 3. If 24 : 36 = 9 : X, then X = 36 × 9 ÷ 24 = 13.5. Splitting 500 in the ratio 24 : 36 gives 200 and 300.

Understanding your result

Decimal ratios are scaled to whole numbers before simplifying, so 1.5 : 2.5 becomes 3 : 5. The percentage line shows what share of the whole each part is.

When to use it

  • Mix paint, concrete or fertiliser in the right proportions.
  • Share profit or cost between partners.
  • Scale recipes, maps and drawings.

Assumptions and limits

This tool works with two-part ratios. A and B must be above zero. Results show up to four decimal places.

Frequently asked questions

What is a ratio?

A comparison of two quantities, written as A : B. A ratio of 2 : 3 means 2 parts for every 3 parts.

How do I simplify a ratio?

Divide both numbers by their greatest common divisor. 24 : 36 divided by 12 gives 2 : 3.

How do I solve a proportion?

Cross-multiply. In A : B = C : X, X equals B × C ÷ A.

How do I split an amount in a ratio?

Add the parts, divide the total by that sum, and multiply by each part.

Does the order matter?

Yes. 2 : 3 is not the same as 3 : 2. Keep A and B in the order you need.