Let's solve the given expression step by step:

\[
\frac{\left(\frac{13}{13} \text{ of } 13 + 13\right)}{\left(\frac{13}{13} \times 13 + 13\right)}
\]

### Step 1: Simplify the division
\[
\frac{13}{13} = 1
\]

So the expression becomes:

\[
\frac{\left(1 \text{ of } 13 + 13\right)}{\left(1 \times 13 + 13\right)}
\]

### Step 2: Simplify "of" and multiplication
"of" in this context typically means multiplication, so:

\[
1 \text{ of } 13 = 13
\]

The expression now simplifies to:

\[
\frac{(13 + 13)}{(13 + 13)}
\]

### Step 3: Simplify the addition
\[
13 + 13 = 26
\]

So the expression now becomes:

\[
\frac{26}{26}
\]

### Step 4: Simplify the fraction
\[
\frac{26}{26} = 1
\]

So, the value of the expression is **1**.

Would you like more details on this, or have any questions?

Here are 5 related questions for further exploration:
1. How would the expression change if we substituted 13 with a different number?
2. What if the original expression had different operations instead of addition?
3. How does the concept of "order of operations" apply to this problem?
4. Can you create a similar expression using different operations (e.g., subtraction)?
5. How would the problem change if "of" was interpreted differently?

**Tip:** Remember that "of" usually means multiplication, especially in word problems or expressions involving fractions.

Learn how to solve the expression (13÷13 of 13+13)/(13÷13×13+13) with a detailed step-by-step solution. This problem covers fraction operations and order of operations. Suitable for students in Grades 7-9.

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