Find a unit ratio by simplifying A:B and writing it as x:1 or 1:x, or solve proportions, unit rates, unit prices and drawing scales with fractions.
Unit Ratio Formula
The following formula is used to calculate the Unit Ratio.
- Where UR is the unit rate in first-unit quantities per one second-unit quantity; Q2 must be nonzero
- Q1 is the quantity of the first unit
- Q2 is the quantity of the second unit
To calculate a unit rate, divide the first quantity by the second or reference quantity. A simplified ratio expresses the same relationship with reduced integer terms: 8:10 becomes 4:5, while the unit rate is 8/10 = 0.8. Convert quantities to compatible units before forming a dimensionless ratio.
How to Calculate Unit Ratio?
The following example problems outline how to calculate Unit Ratio.
Example Problem #1:
- First, determine the quantity of the first unit.
- The quantity of the first unit is given as 5.
- Next, determine the quantity of the second unit.
- The quantity of the second unit is provided as 7.
- Finally, calculate the Unit Ratio using the equation above:
UR = Q1 / Q2
The values given above are inserted into the equation below and the solution is calculated:
UR = Q1 / Q2 = 5/7 ≈ 0.7142857143 first units per second unit.
Example Problem #2:
For this problem, the variables required are provided below:
quantity of first unit = 8
quantity of second unit = 10
Test your knowledge using the equation and check your answer with the calculator above.
UR = Q1 / Q2 = ?
