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