Ratio Calculator
Simplify a ratio and scale it up or down to an equivalent ratio.
Last updated · View algorithm, constants and default inputs (JSON)
About this calculator
A ratio compares two quantities and stays the same when both sides are multiplied or divided by the same number. Simplifying to the smallest whole numbers makes ratios much easier to compare.
Worked example
calculated with the default values below
First value 24 · Second value 36 · Scale second part to 3 Scaled first value 2.0000 · First divided by second 0.666667 · First as share of total 40.00 %
General background references
Disclaimer
These calculators give general mathematical results. They suit study, planning and estimation — verify anything that feeds a graded submission, a published figure or a financial commitment.
Implementation source
This record describes the implementation used by this page. It is not independent validation. External references, when available, support only the stated formula or definition; estimates and custom rules retain their own assumptions.
Formula and variables
x = a×s÷b; r = a÷b; p = 100×a÷(a+b)
- a
- First term
- b
- Second term
- s
- Scale factor
- x
- Scaled value of a
- r
- Decimal ratio
- p
- Percentage of total
A zero denominator or zero total is undefined and produces an input error.
Frequently asked questions
What happens when a denominator is zero?
A ratio with a zero second term is undefined, and the percentage a ÷ (a + b) is undefined when the total is zero. The calculator reports an input error instead of substituting zero.