If `2805div2.55=1100` then `280.5div25.5` is equal to

Options

A. 1.01
B. 1.1
C. 0.11
D. 11

Answer

To solve the problem, we need to find the value of \( 280.5 \div 25.5 \) given that \( 2805 \div 2.55 = 1100 \).

### Step-by-Step Solution:

1. **Understand the given equation**: We start with the equation \( 2805 \div 2.55 = 1100 \).

2. **Rearranging the equation**: We can manipulate the equation by multiplying both the numerator and the denominator by 10 to eliminate the decimal in the denominator:
\[ \frac{2805}{2.55} = \frac{2805 \times 10}{2.55 \times 10} = \frac{28050}{25.5} \]
This means:
\[ 2805 \div 2.55 = 1100 \implies 28050 \div 25.5 = 11000 \]

3. **Divide both sides by 10**: Since we multiplied by 10, we can now divide both sides of the equation by 10:
\[ \frac{28050}{25.5} \div 10 = 11000 \div 10 \]
This simplifies to:
\[ 2805 \div 25.5 = 1100 \]

4. **Finding \( 280.5 \div 25.5 \)**: Now we can find \( 280.5 \div 25.5 \) by recognizing that:
\[ 280.5 = \frac{2805}{10} \]
Thus,
\[ 280.5 \div 25.5 = \frac{2805 \div 25.5}{10} \]

5. **Substituting the known value**: From our earlier calculation, we know that \( 2805 \div 25.5 = 110 \):
\[ 280.5 \div 25.5 = \frac{1100}{10} = 110 \]

6. **Final answer**: Therefore, the value of \( 280.5 \div 25.5 \) is:
\[ \boxed{11} \]