Ratio of 3 Numbers Calculator
With our ratio of 3 numbers calculator you'll never again struggle with math operations related to ratios A : B : C.
Simplest form3 : 4 : 6
As entered18 : 24 : 36
Total parts13
First as a fraction of the whole3/13
Breakdown
| Term | Simplified | Share | Of the total |
|---|---|---|---|
| 18 | 3 | 23.0769% | — |
| 24 | 4 | 30.7692% | — |
| 36 | 6 | 46.1538% | — |
The method
divide every term by their greatest common divisor
The rules in one place
- Adding and subtracting needs a common denominator first. The lowest common denominator keeps the numbers smallest, but any common denominator works.
- Multiplying needs no common denominator at all — multiply across the top and across the bottom.
- Dividing means multiplying by the reciprocal: flip the second fraction and multiply.
- Reducing divides top and bottom by their greatest common divisor. It never changes the value.
Why lowest terms matter
6/8 and 3/4 are the same number, but 3/4 is easier to compare, easier to check and conventional in an answer. Reducing also keeps later arithmetic small: multiplying unreduced fractions makes the numbers grow fast, and cancelling first avoids that.