To calculate the Simplified Ratio:
\[ SR = \left(\frac{X / \text{GCD}(X, Y)}{Y / \text{GCD}(X, Y)}\right) \]
Where:
The simplified ratio is the ratio of two numbers reduced to its simplest form. This is done by dividing both numbers by their greatest common divisor (GCD). For example, the ratio 8:12 simplifies to 2:3 because the GCD of 8 and 12 is 4.
Let's assume the following values:
Step 1: Calculate the GCD of 8 and 12, which is 4.
Step 2: Divide both numbers by the GCD:
\[ \text{Simplified Ratio} = \frac{8 / 4}{12 / 4} = 2:3 \]
The simplified ratio is 2:3.
Let's assume the following values:
Step 1: Calculate the GCD of 45 and 75, which is 15.
Step 2: Divide both numbers by the GCD:
\[ \text{Simplified Ratio} = \frac{45 / 15}{75 / 15} = 3:5 \]
The simplified ratio is 3:5.
