[(72 − {−41}) − 5 × 2] ÷ (80 ÷ 10)

Let's solve the expression step by step:

Given expression:  
\[
\frac{(72 - (-41)) - 5 \times 2}{\frac{80}{10}}
\]

1. **Simplify inside the parentheses**:
   \[
   72 - (-41) = 72 + 41 = 113
   \]
   So the expression becomes:
   \[
   \frac{(113) - 5 \times 2}{\frac{80}{10}}
   \]

2. **Perform the multiplication**:
   \[
   5 \times 2 = 10
   \]
   Now, the expression is:
   \[
   \frac{113 - 10}{\frac{80}{10}}
   \]

3. **Simplify the subtraction**:
   \[
   113 - 10 = 103
   \]
   The expression simplifies to:
   \[
   \frac{103}{\frac{80}{10}}
   \]

4. **Simplify the division in the denominator**:
   \[
   \frac{80}{10} = 8
   \]
   Now the expression is:
   \[
   \frac{103}{8}
   \]

5. **Perform the final division**:
   \[
   \frac{103}{8} = 12.875
   \]

So, the final answer is:
\[
12.875
\]

Would you like details or have any questions?

Here are 5 related questions:
1. How would the result change if the subtraction in the numerator was different?
2. What if the multiplication factor was increased to 10 instead of 5?
3. Can you simplify the division before handling other operations? How would that impact the result?
4. How does the order of operations (PEMDAS/BODMAS) affect the solution?
5. What happens if the division in the denominator is changed to multiplication?

**Tip:** Always simplify expressions inside parentheses first to avoid mistakes in more complex calculations.

Learn how to solve the arithmetic expression (72 - (-41)) - 5 * 2 / (80 / 10) step-by-step. This problem covers arithmetic operations, order of operations (PEMDAS/BODMAS), and fraction operations. Suitable for students in Grades 6-8.

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