Step 1 :Simplify the expression inside the parentheses: \(5 - 4 = 1\)
Step 2 :Perform the division: \(\frac{45}{8(1) - 3} = \frac{45}{8 - 3} = \frac{45}{5} = 9\)
Step 3 :Final Answer: \(\boxed{9}\)