Enter the numerator (X) and the denominator (Y) into the Simplified Ratio Calculator. The calculator will evaluate and display the Simplified Ratio.

## Simplified Ratio Formula

The following formula is used to calculate the Simplified Ratio.

**SR = (X/GSD(X,Y)) / (Y/GSD(X,Y))**

- Where SR is the Simplified Ratio (X:Y)
- X is the numerator (X)
- Y is the denominator (Y)

## How to Calculate Simplified Ratio?

The following example problems outline how to calculate Simplified Ratio.

Example Problem #1:

- First, determine the numerator (X).
- The numerator (X) is given as: 120.

- Next, determine the denominator (Y).
- The denominator (Y) is provided as: 100.

- Finally, calculate the Simplified Ratio using the equation above:

SR = (X/GSD(X,Y)) / (Y/GSD(X,Y))

The values given above are inserted into the equation below and the solution is calculated:

SR = (120/GSD(X,Y)) / (100/GSD(X,Y)) = 6:5 (X:Y)

Example Problem #2:** **

For this problem, the variables required are provided below:

numerator (X) = 180

denominator (Y) = 60

Test your knowledge using the equation and check your answer with the calculator above.

SR = (X/GSD(X,Y)) / (Y/GSD(X,Y))** = ?**