https://file.aiquickdraw.com/mathbot/file/1725402521713sp5daypg.jpg

The problem shown in the image is:

\[
\text{Evaluate } \frac{26 \div 2 + 5}{3^2 - 3}
\]

Let's solve this step by step:

### Step 1: Simplify the numerator
The numerator is \(26 \div 2 + 5\).

1. Perform the division: 
   \[
   26 \div 2 = 13
   \]
2. Add 5 to the result:
   \[
   13 + 5 = 18
   \]
   
So, the numerator simplifies to 18.

### Step 2: Simplify the denominator
The denominator is \(3^2 - 3\).

1. Calculate \(3^2\):
   \[
   3^2 = 9
   \]
2. Subtract 3 from 9:
   \[
   9 - 3 = 6
   \]

So, the denominator simplifies to 6.

### Step 3: Divide the simplified numerator by the simplified denominator
\[
\frac{18}{6} = 3
\]

### Final Answer:
The value of the expression is **3**.

Would you like further details or have any questions about the steps? Here are some additional questions to expand your understanding:

1. What is the result if you change the numerator to \(26 + 5 \div 2\) instead of \(26 \div 2 + 5\)?
2. How would the expression change if the exponent in the denominator were different, say \(4^2\) instead of \(3^2\)?
3. What would happen to the final result if you replaced subtraction in the denominator with addition?
4. How do order of operations (PEMDAS) affect the evaluation of the numerator and denominator separately?
5. Can you think of a real-world scenario where such a calculation might be relevant?

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

Evaluate \( \frac{26 \div 2 + 5}{3^2 - 3} \)

Learn how to evaluate the expression \( \frac{26 \div 2 + 5}{3^2 - 3} \) using the order of operations. This detailed solution is ideal for students in Grades 6-8, covering key arithmetic concepts including division, addition, exponents, and fractions.

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