Unit Rate Calculator
The unit rate calculator is here to give you your fraction's equivalent with one in the denominator (i.e. unit rate).
Unit rate2.5per single unit
Reciprocal rate0.4units per one of the amount
Per 100 units250
At this rate
| Units | Amount |
|---|---|
| 1 | 2.5 |
| 2 | 5 |
| 5 | 12.5 |
| 10 | 25 |
| 25 | 62.5 |
| 50 | 125 |
| 100 | 250 |
The method
unit rate = quantity ÷ number of units
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.