1. The problem is to simplify the fraction $\frac{2}{2}$. 2. The formula for simplifying a fraction is to divide both numerator and denominator by their greatest common divisor (GCD). 3. The GCD of 2 and 2 is 2. 4. Divide numerator and denominator by 2: $$\frac{\cancel{2}}{\cancel{2}} = \frac{1}{1}$$ 5. Simplifying $\frac{1}{1}$ gives 1. 6. Therefore, the simplified form of $\frac{2}{2}$ is 1.