This math calculator reduces a quantity-per-units relationship to a single unit rate and preserves the original ratio.
Math
Unit Rate Calculator
Reduce a quantity-per-units relationship to a rate per one unit.
Calculator
About this calculator
Formula notes
unit rate = quantity a / units b; the ratio is displayed as quantity:units.
Worked examples
- Example: 18 items over 6 units gives a unit rate of 3, written 18:6.
- A 250 item delivery over 10 hours has a unit rate of 25 items per hour.
How to use it
- Enter the quantity (numerator).
- Enter the number of units (nonzero denominator).
- Read the unit rate and the original ratio.
Frequently asked questions
What happens if units is zero?
The calculator rejects zero units because division by zero is undefined.
Can I use negative numbers?
Yes. Both inputs may be signed, and the unit rate keeps the sign of the division.
Limits and interpretation
- The ratio is a snapshot of the two entered quantities; it does not infer units or measurement context.
- Zero units are rejected because the denominator of a unit rate must be nonzero.