Math calculators

Ratio and proportion calculator

Simplify ratios, solve proportions a:b = c:x and divide a total in a given ratio.

Inputs

RatioTwo or more numbers, e.g. 2 : 3 : 5

Results

Methodology

Conventions

Decimal terms are scaled to whole numbers before dividing by their greatest common divisor.
A split shares the total in proportion to the terms.

References

Any school algebra text

Formulas

Proportion: a : b = c : x \iff x = \frac{b c}{a}
Share k: s_k = T \cdot \frac{t_k}{\sum_j t_j}