1. The problem is to evaluate the expression $$3 \ \frac{3}{8} \ 0/0 \left( \frac{5}{12} + \frac{1}{5} \right).$$\n\n2. Notice the term $0/0$ in the expression. Division by zero is undefined in mathematics, and $0/0$ is an indeterminate form. Therefore, the entire expression is undefined as it includes $0/0$.\n\n3. Regardless of the other terms, the presence of $0/0$ means the expression cannot be evaluated to a real number or simplified further.\n\nFinal answer: The expression is undefined because it contains the indeterminate form $0/0$.