40% of 580 `div` 8 =?

Options

A. 35
B. 25
C. 29
D. 31

Answer

To solve the problem "40% of 580 divided by 8", we can break it down into clear steps.

### Step-by-Step Solution:

1. **Calculate 40% of 580**:
- To find 40% of a number, you can use the formula:
\[ \text{Percentage} = \left(\frac{\text{Percentage Value}}{100}\right) \times \text{Total Value} \]
- Here, the percentage value is 40 and the total value is 580.
- So, we calculate:
\[ 40\% \text{ of } 580 = \left(\frac{40}{100}\right) \times 580 \]

2. **Simplify the fraction**:
- Simplifying \(\frac{40}{100}\) gives:
\[ \frac{40}{100} = \frac{4}{10} = \frac{2}{5} \]
- Now, substituting back into the equation:
\[ 40\% \text{ of } 580 = \frac{2}{5} \times 580 \]

3. **Multiply**:
- Now we perform the multiplication:
\[ \frac{2}{5} \times 580 = \frac{2 \times 580}{5} = \frac{1160}{5} \]
- Dividing 1160 by 5 gives:
\[ 1160 \div 5 = 232 \]

4. **Divide the result by 8**:
- Now we take the result from the previous step and divide it by 8:
\[ \frac{232}{8} \]
- Performing the division:
\[ 232 \div 8 = 29 \]

5. **Final Answer**:
- Therefore, the final answer to the expression \(40\% \text{ of } 580 \div 8\) is:
\[ \boxed{29} \]