Let's break down the expression step by step:

\[ \frac{5 + 8 \times (3 + 2)}{9} - 1 \]

1. First, solve inside the parentheses:
   \[ 3 + 2 = 5 \]

2. Now the expression becomes:
   \[ \frac{5 + 8 \times 5}{9} - 1 \]

3. Next, multiply:
   \[ 8 \times 5 = 40 \]

4. Substitute this back into the expression:
   \[ \frac{5 + 40}{9} - 1 \]

5. Add:
   \[ 5 + 40 = 45 \]

6. Now divide:
   \[ \frac{45}{9} = 5 \]

7. Finally, subtract:
   \[ 5 - 1 = 4 \]

So, the value of the expression is **4**.

Would you like more details on any of the steps? Here are 5 related problems to practice:

1. \[ (7 + 3) \times 4 - 8 \div 2 \]
2. \[ \frac{9 \times (6 + 2)}{3} + 5 \]
3. \[ (2 + 4 \times 5) - 12 \]
4. \[ \frac{10 + 8 \times (4 + 1)}{6} \]
5. \[ 12 \div (3 + 1) \times 5 - 3 \]

**Tip:** Always follow the order of operations (PEMDAS): Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Learn how to solve the arithmetic expression [5+8x(3+2)]÷9-1 by following the order of operations (PEMDAS). This step-by-step guide explains each part of the process, suitable for students in Grades 6-8.

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