https://file.aiquickdraw.com/mathbot/file/1726696709985sun55qam.jpg

Let's solve the problems from the image one by one.

### 5) \(\frac{4}{6 - (6 - 4)}\)

First, simplify the expression inside the parentheses:
\[
6 - 4 = 2
\]
Now substitute back:
\[
6 - 2 = 4
\]
So the expression becomes:
\[
\frac{4}{4} = 1
\]
**Answer: 1**

### 7) \(\frac{3 + 13 - 4}{2}\)

First, simplify the numerator:
\[
3 + 13 = 16
\]
Then:
\[
16 - 4 = 12
\]
Now divide by 2:
\[
\frac{12}{2} = 6
\]
**Answer: 6**

### 9) \(\frac{4 + 7 + 5}{4}\)

First, simplify the numerator:
\[
4 + 7 = 11
\]
Then:
\[
11 + 5 = 16
\]
Now divide by 4:
\[
\frac{16}{4} = 4
\]
**Answer: 4**

### 11) \(\frac{4 - (1 + 2) + 5}{2}\)

First, simplify inside the parentheses:
\[
1 + 2 = 3
\]
Now substitute back:
\[
4 - 3 + 5 = 6
\]
Now divide by 2:
\[
\frac{6}{2} = 3
\]
**Answer: 3**

### 13) \(\frac{18}{3} \cdot 6 - 3 + 2\)

First, divide \( \frac{18}{3} \):
\[
\frac{18}{3} = 6
\]
Now multiply by 6:
\[
6 \cdot 6 = 36
\]
Now subtract 3:
\[
36 - 3 = 33
\]
Finally, add 2:
\[
33 + 2 = 35
\]
**Answer: 35**

---

Do you have any questions or would you like more details on a specific solution? 

Here are some related questions you might consider:
1. How do parentheses affect the order of operations?
2. Why do we simplify inside parentheses before handling other operations?
3. Can you think of other examples where simplifying inside parentheses changes the outcome?
4. How does division distribute over addition or subtraction in expressions like these?
5. Can this type of expression have more complex operations, like exponents?

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

Solve the following expressions:

1) 4/(6-(6-4))
2) (3+13-4)/2
3) (4+7+5)/4
4) (4-(1+2)+5)/2
5) 18/3 * 6 - 3 + 2

Learn how to solve expressions involving division, addition, and parentheses by applying the correct order of operations. This example walks through problems like (4-(1+2)+5)/2 and 18/3 * 6 - 3 + 2, using PEMDAS rules. Suitable for middle school students in grades 6-8.

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