Let's break down the expression step by step:

\[
11 \times 7 - \frac{(13 + 9)}{(9 + 13)}
\]

### Step 1: Calculate inside the parentheses

- \( 13 + 9 = 22 \)
- \( 9 + 13 = 22 \)

Now, the expression becomes:

\[
11 \times 7 - \frac{22}{22}
\]

### Step 2: Perform the division

\[
\frac{22}{22} = 1
\]

So, the expression now is:

\[
11 \times 7 - 1
\]

### Step 3: Multiply and subtract

\[
11 \times 7 = 77
\]
\[
77 - 1 = 76
\]

### Final Answer:
\[
76
\]

Would you like more details or have any questions?

Here are 5 related questions to consider:
1. How do you prioritize operations in an expression with multiple parentheses?
2. What are the properties of multiplication and division in algebra?
3. Can you create a similar expression and simplify it?
4. How would the answer change if one of the terms inside the parentheses was negative?
5. How would you handle this expression if it included exponents?

**Tip:** Always simplify expressions inside parentheses first before handling multiplication, division, addition, or subtraction.

Learn how to simplify the expression 11*7 - (13+9)/(9+13) with a step-by-step guide. This solution explains the order of operations (PEMDAS/BODMAS), including addition, multiplication, and division. Perfect for students in Grades 5-7.

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