In the following questions, each question has four options (A), (B), (C) and (D). Choose the correct option and indicate your correct response.
Express 6% of 5.25 + 5% of 8.65 in decimal number

Options

A. 0.7574
B. 7.475
C. 0.7475
D. 7.574

Answer

To solve the problem of expressing 6% of 5.25 plus 5% of 8.65 in decimal form, we can follow these steps:

### Step-by-Step Solution:

1. **Calculate 6% of 5.25**:
- Convert 6% to a fraction:
\[ 6\% = \frac{6}{100} \]
- Multiply this fraction by 5.25:
\[ 6\% \text{ of } 5.25 = \frac{6}{100} \times 5.25 \]
- Calculate:
\[ = \frac{6 \times 5.25}{100} = \frac{31.5}{100} \]

2. **Calculate 5% of 8.65**:
- Convert 5% to a fraction:
\[ 5\% = \frac{5}{100} \]
- Multiply this fraction by 8.65:
\[ 5\% \text{ of } 8.65 = \frac{5}{100} \times 8.65 \]
- Calculate:
\[ = \frac{5 \times 8.65}{100} = \frac{43.25}{100} \]

3. **Add the two results**:
- Now we add the two fractions:
\[ \frac{31.5}{100} + \frac{43.25}{100} = \frac{31.5 + 43.25}{100} \]
- Calculate the sum in the numerator:
\[ = \frac{74.75}{100} \]

4. **Convert to decimal**:
- To express \(\frac{74.75}{100}\) in decimal form, we move the decimal point two places to the left:
\[ 74.75 \div 100 = 0.7475 \]

### Final Answer:
The final answer is:
\[ \boxed{0.7475} \]