1. First, write down the problem clearly: Calculate $\frac{7}{2} \div (2 - (-2))$. 2. Simplify inside the parentheses: $2 - (-2) = 2 + 2 = 4$. 3. Now the expression is $\frac{7}{2} \div 4$. 4. Dividing by a number is the same as multiplying by its reciprocal. So, $\frac{7}{2} \div 4 = \frac{7}{2} \times \frac{1}{4}$. 5. Multiply the numerators: $7 \times 1 = 7$. 6. Multiply the denominators: $2 \times 4 = 8$. 7. So, the result is $\frac{7}{8}$. 8. The fraction $\frac{7}{8}$ is already in simplest form. Final answer: $\frac{7}{8}$.