If `4015 -: 11 = 365, 40.15 -: 1.1` is equal to

Options

A. 36.5
B. 3.65
C. 0.365
D. 0.0365

Answer

To solve the problem \( 40.15 \div 1.1 \), we can use the relationship established in the previous division \( 4015 \div 11 = 365 \).

### Step-by-Step Solution:

1. **Understanding the Relationship**:
We know that \( 4015 \div 11 = 365 \). This means that if we divide 4015 by 11, we get 365.

2. **Converting the Decimal**:
We can express \( 40.15 \) as \( \frac{4015}{100} \) because moving the decimal two places to the right gives us 4015.

3. **Setting Up the Division**:
We need to divide \( 40.15 \) by \( 1.1 \). We can express \( 1.1 \) as \( \frac{11}{10} \). Therefore, we rewrite the division:
\[ 40.15 \div 1.1 = \frac{4015}{100} \div \frac{11}{10} \]

4. **Dividing by a Fraction**:
Dividing by a fraction is the same as multiplying by its reciprocal:
\[ \frac{4015}{100} \div \frac{11}{10} = \frac{4015}{100} \times \frac{10}{11} \]

5. **Simplifying the Expression**:
Now, we can simplify:
\[ = \frac{4015 \times 10}{100 \times 11} = \frac{40150}{1100} \]

6. **Performing the Division**:
Now we need to perform the division \( 40150 \div 1100 \):
\[ 40150 \div 1100 = 36.5 \]

### Final Answer:
Thus, \( 40.15 \div 1.1 = 36.5 \).