Let's solve the expression step by step:

Given expression:
$\frac{5 + 8 \times (3 + 2)}{9} - 1$

Step 1: Solve the parentheses first.

$3 + 2 = 5$

Now, the expression becomes:
$\frac{5 + 8 \times 5}{9} - 1$

Step 2: Multiply.

$8 \times 5 = 40$

Now, the expression is:
$\frac{5 + 40}{9} - 1$

Step 3: Add.

$5 + 40 = 45$

Now, the expression becomes:
$\frac{45}{9} - 1$

Step 4: Divide.

$\frac{45}{9} = 5$

Step 5: Subtract.

$5 - 1 = 4$

Final Answer:

$\boxed{4}$

Would you like further details or have any other questions?

Here are 5 related questions for further practice:

1. What is the value of $6 + 4 \times (2 + 3) - 7$?
2. Solve $[3 + 6 \times (2 + 4)] ÷ 3 - 2$.
3. What is $\frac{7 + 2 \times (4 + 5)}{3} - 2$?
4. Simplify $4 \times (5 + 6) ÷ 2 - 3$.
5. What is the result of $8 ÷ 2 \times (3 + 1) - 5$?

Tip: Always solve the operations inside parentheses first when working with expressions.