Calculator

Ratio Calculator & Simplifier

Simplify ratios, scale them up or down, and solve for a missing value in an equivalent-ratio proportion.

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16 : 9Simplified ratio
1.777778As a decimal
64%First as a share

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About the Ratio Calculator

Ratios turn up in recipes, screen dimensions, model scales, mixing paint, and every proportion question in school maths. This tool reduces a ratio to its simplest whole-number form and solves the classic "A is to B as C is to what" proportion for the missing term.

How to use the Ratio Calculator

  1. Enter the two parts of your ratio to see it simplified.
  2. Switch to proportion mode to solve for a missing term.
  3. Fill in any three of the four values; the fourth is calculated for you.
  4. Use the decimal equivalent to check scaling quickly.

The formula behind it

A ratio is simplified by dividing both terms by their greatest common divisor. In a proportion A:B = C:D, the missing term follows from A × D = B × C.

Frequently asked questions

What is the difference between a ratio and a fraction?

A fraction compares a part with the whole; a ratio compares parts with each other. In a 2:3 mix there are five parts in total, so the first ingredient is 2/5 of the mixture, not 2/3.

How do I scale a recipe with this?

Use proportion mode. If the recipe serves 4 and you need 7, enter 4 : ingredient amount = 7 : unknown, and the tool returns the new quantity.

How do I find a screen aspect ratio?

Enter the pixel width and height and simplify. 1920 × 1080 reduces to 16:9, and 2560 × 1080 reduces to 64:27, the ultrawide format.

Can a ratio have decimals?

It can, but whole numbers are conventional. Multiply both terms by 10 or 100 until the decimals disappear, then simplify.