The value of `(3.24xx4)/(0.2)=?`

Options

A. `(324)/(25)`
B. `(162)/(25)`
C. `(162)/(5)`
D. `(324)/(5)`

Answer

To solve the question `(3.24xx4)/(0.2)=?`, we will follow these steps:

### Step 1: Understand the expression
We need to simplify the expression `(3.24xx4)/(0.2)`. Here, `xx` represents a placeholder for digits that we need to determine.

### Step 2: Convert the denominator
First, let's convert the denominator `0.2` into a fraction for easier calculations. We can write:
\[ 0.2 = \frac{2}{10} = \frac{1}{5} \]

### Step 3: Rewrite the expression
Now, we can rewrite the expression as:
\[ \frac{3.24xx4}{0.2} = 3.24xx4 \times 5 \]

### Step 4: Calculate the multiplication
Next, we need to multiply `3.24xx4` by `5`. This will give us:
\[ 3.24xx4 \times 5 = 5 \times (3.24xx4) \]

### Step 5: Determine the value of `xx`
Since `xx` represents two digits, we can denote it as `y`, where `y` can range from `00` to `99`. Thus, we can express `3.24xx4` as `3.24y4`.

### Step 6: Final Expression
Now, we can express our final answer as:
\[ 5 \times (3.24y4) \]

### Step 7: Conclusion
The final answer will depend on the specific digits represented by `xx`. If we had specific digits, we could calculate the exact value. For now, we can say:
\[ \text{Final Answer} = 5 \times (3.24y4) \]