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Math / Ratio

Ratio Calculator

Reduce a two-part ratio to its simplest whole-number terms and scale it to a requested total. Decimal inputs are converted to a practical common integer scale before the greatest common factor is removed. For positive parts a:b, divide both by gcd(a,b). Given a total T, the first share is T×a/(a+b) and the second is T×b/(a+b).

Your inputs

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Calculator settings

Your result
2:3
Simplified ratio
Result breakdownFirst part share: 8Second part share: 12
total unitsFirst part share · 8Second part share · 12
First share
8
Second share
12

Example inputs shown. Adjust them to explore.

A familiar situation

Scale a paint or drink mixture while keeping the original ratio between ingredients.

How to use this calculator

  1. Enter first ratio part, second ratio part, total to split.
  2. Select Calculate to see the answer and its breakdown.
  3. Keep a scenario, change an input and compare the results.

Use consistent units and check the assumptions below before applying the result.

How ratio is calculated

For positive parts a:b, divide both by gcd(a,b). Given a total T, the first share is T×a/(a+b) and the second is T×b/(a+b). A 2:3 mixture totaling 20 units contains 8 units of the first part and 12 of the second.

Simplify a:b by gcd(a,b); split total T into Ta/(a+b) and Tb/(a+b).
A worked example

A 2:3 mixture totaling 20 units contains 8 units of the first part and 12 of the second.

Assumptions & useful context

The result depends on the values you enter and the method described above. Displayed numbers may be rounded; calculations use the unrounded values. Check that this model matches your situation before relying on it.

Frequently asked questions

Does 2:3 mean two divided by three?

It describes relative quantities; its value as a fraction is 2/3.

Can one part be zero?

Yes; the output still describes the resulting split, provided both parts are not zero.

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