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Ratio Calculator

Simplify a ratio to lowest terms and see it as a decimal.

Free to use, no sign-up required. Ratio Calculator is one of 198 tools built into Xenition, alongside a chat that can use them for you.

Reduces a ratio to its simplest whole-number form and shows it as a decimal, for jobs like finding a screen’s aspect ratio or scaling a recipe.

How to use Ratio Calculator

  1. Enter the First number.
  2. Enter the Second number.
  3. Read the Simplified ratio and the ratio As decimal (first ÷ second).

How it works

If either number has decimals, both are multiplied by the same power of 10 to make them whole (up to six decimal places). They are then divided by their greatest common divisor, found with Euclid’s algorithm. The decimal is first ÷ second to four places.

Example

1920 : 1080 has a greatest common divisor of 120, so it simplifies to 16 : 9, which is 1.7778 as a decimal. 1.5 : 2 is scaled to 15 : 20 and simplifies to 3 : 4, or 0.75.

Questions about Ratio Calculator

How do I scale a ratio up to a real quantity?

Multiply both parts by the same number. 16 : 9 at a width of 1280 is 1280 ÷ 16 = 80, and 80 × 9 = 720, giving 1280 × 720.

Is 16:9 the same as 1.78:1?

Yes. 16 ÷ 9 = 1.7778, so both describe the same shape; the second form fixes the smaller side at 1.

Use it from chat

You do not have to open Ratio Calculator to use it. Ask Xenition in plain language and it runs the right tool, then carries the answer into whatever you are working on — a document, a spreadsheet, a deck.

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