Math

Ratio Calculator

Simplify a ratio to its smallest whole numbers, see it as a decimal, and solve A:B = C:? to scale it up or down, for recipes, screen sizes, maps or mixing.

Find the matching B for a new A.

16 : 9Simplified ratio

As a decimal (A ÷ B)1.777778
Greatest common factor120
1920:1080 = 1280:?720

How this calculator works

A ratio is simplified by dividing both sides by their greatest common factor. 1920:1080 ÷ 120 = 16:9.

As a decimal, the ratio is A ÷ B.

To scale, the missing value is C × B ÷ A, which keeps the ratio the same.

Ratios with decimals are shown as “x : 1” instead of whole numbers.

Common ratios are worth recognising: 16:9 and 4:3 for screens, 3:2 for photos, 1:1 for squares, and mixing ratios such as 2:1 or 4:1 for paints, resins and concrete.

Worked example

A 1920 × 1080 screen

  1. Greatest common factor: 120.
  2. Simplified ratio: 16:9 (1.778 as a decimal).
  3. At the same ratio, a 1280-pixel-wide image is 1280 × 1080 ÷ 1920 = 720 pixels high.

Questions people ask

How do I scale a recipe with a ratio?

Divide the new number of servings by the original, then multiply each ingredient by that factor.

What is the difference between a ratio and a fraction?

A fraction compares a part with the whole; a ratio compares two parts. A 2:3 ratio means 2 parts out of 5 in total.

Can ratios have more than two parts?

Yes, for example 1:2:3 for a mix. Simplify by dividing every part by their common factor.

How do I turn a ratio into percentages?

Add the parts and divide each by the total. In 3:2, the total is 5, so the parts are 60% and 40%.

Last reviewed October 2, 2026