A fraction becomes 4/5, if 1 is added to both numerator and denominator. If, however, 5 is subtracted from both numerator and denominator, the fraction becomes ½. What is the fraction.

Explanation

To solve the problem step by step, we can follow these instructions:

### Step 1: Define the Variables
Let the fraction be represented as \( \frac{x}{y} \), where \( x \) is the numerator and \( y \) is the denominator.

### Step 2: Set Up the First Equation
According to the problem, if 1 is added to both the numerator and the denominator, the fraction becomes \( \frac{4}{5} \). This can be expressed as:
\[
...