1. Stating the problem: Simplify the fraction $\frac{2}{2}$. 2. Formula and rules: When simplifying fractions, divide numerator and denominator by their greatest common divisor (GCD). 3. Find the GCD of 2 and 2, which is 2. 4. Divide numerator and denominator by 2: $$\frac{\cancel{2}}{\cancel{2}} = \frac{1}{1}$$ 5. Simplify the fraction $\frac{1}{1}$ to 1. 6. Final answer: $1$