Let's solve this step by step.

Let the original fraction be $\frac{x}{y}$.

According to the first condition:

• If 2 is added to both the numerator and denominator, the fraction becomes $\frac{x+2}{y+2}$.

According to the second condition:

• If 2 is subtracted from both the numerator and the denominator, the fraction becomes $\frac{x-2}{y-2}$.

Now, we need more information about what the fraction "becomes" in both cases. Typically, these types of problems specify values for the new fractions (e.g., "it becomes 3/4" or "it becomes 1/2"). Could you please provide the missing values?

Once I have that, I can help you find the fraction.

Would you like details on the process or have any further questions?

Here are 5 questions to expand on this:

1. What happens if different numbers are added to the numerator and denominator?
2. How do we handle more complex transformations of fractions?
3. What role does cross-multiplication play in solving these equations?
4. How would we solve a similar problem with three transformations?
5. How does this problem relate to rational functions in algebra?

Tip: When solving fraction problems, it's crucial to carefully set up the conditions as equations to avoid confusion later.