1. **State the problem:** Evaluate the expression $$\frac{9}{13} \times \left(\frac{7}{12} + \frac{5}{12}\right) \div \frac{9}{13}$$. 2. **Recall the order of operations:** Perform operations inside parentheses first, then multiplication and division from left to right. 3. **Add the fractions inside the parentheses:** $$\frac{7}{12} + \frac{5}{12} = \frac{7+5}{12} = \frac{12}{12} = 1$$. 4. **Substitute back:** The expression becomes $$\frac{9}{13} \times 1 \div \frac{9}{13}$$. 5. **Multiply:** $$\frac{9}{13} \times 1 = \frac{9}{13}$$. 6. **Divide by $$\frac{9}{13}$$:** Dividing by a fraction is the same as multiplying by its reciprocal. $$\frac{9}{13} \div \frac{9}{13} = \frac{9}{13} \times \frac{13}{9} = 1$$. **Final answer:** $$1$$.