The value of `999(995)/(999)xx999` is

Options

A. 990809
B. 998996
C. 999824
D. 998999

Answer

To solve the expression \( \frac{999 \times 995}{999 \times 999} \), we can follow these steps:

### Step-by-Step Solution

1. **Rewrite the Expression**:
The given expression can be rewritten as:
\[ \frac{999 \times 995}{999 \times 999} = \frac{999 \times 995}{999^2} \]

2. **Cancel Out Common Terms**:
Since \(999\) is present in both the numerator and the denominator, we can cancel one \(999\):
\[ = \frac{995}{999} \]

3. **Convert to a More Manageable Form**:
We can express \(999\) as \(1000 - 1\):
\[ = \frac{995}{1000 - 1} \]

4. **Use the Formula for Division**:
We can express this as:
\[ = 995 \times \frac{1}{999} \]

5. **Simplify the Expression**:
Now, we can calculate \( \frac{995}{999} \):
\[ = 995 \times \frac{1}{999} = \frac{995}{999} \]

6. **Final Calculation**:
To find the decimal value, we can perform the division:
\[ = 0.995 \]

### Final Answer
The value of \( \frac{999 \times 995}{999 \times 999} \) is approximately \(0.995\).