Simplify:- 55 ÷ 5.5 - 0.5 = ?

Options

A. a. 9.5
B. b. 10
C. c. 8.5
D. d. 10.5

Answer

To simplify the expression \( 55 \div 5.5 - 0.5 \), we will follow the order of operations, which states we should perform division before subtraction.

### Step-by-Step Solution:

1. **Perform the Division:**
\[ 55 \div 5.5 \]
To make the division easier, we can convert \( 5.5 \) into a fraction:
\[ 5.5 = \frac{55}{10} \]
Therefore, we can rewrite the division as:
\[ 55 \div \frac{55}{10} = 55 \times \frac{10}{55} \]
Here, \( 55 \) in the numerator and denominator cancels out:
\[ = 10 \]

2. **Subtract \( 0.5 \) from the result:**
Now we take the result from the division and subtract \( 0.5 \):
\[ 10 - 0.5 = 9.5 \]

### Final Answer:
\[ \text{The simplified result is } 9.5. \]