If `(547.527)/(0.0082) = x`, then the value of `(547527)/(82)` is

Options

A. 10 x
B. 100 x
C. `(x)/(100)`
D. `(x)/(10)`

Answer

To solve the problem, we start with the equation:

\[ \frac{547.527}{0.0082} = x \]

We need to find the value of:

\[ \frac{547527}{82} \]

### Step 1: Simplify the first fraction
First, we can simplify the fraction \(\frac{547.527}{0.0082}\). To do this, we can multiply both the numerator and the denominator by \(10000\) (which is \(10^4\)) to eliminate the decimal in the denominator.

\[ \frac{547.527 \times 10000}{0.0082 \times 10000} = \frac{5475270}{82} \]

### Step 2: Relate the two fractions
Now, we can express \(x\) in terms of the new fraction:

\[ x = \frac{5475270}{82} \]

### Step 3: Relate \(547527\) to \(5475270\)
Notice that \(5475270\) can be rewritten as \(547527 \times 10\):

\[ x = \frac{547527 \times 10}{82} \]

### Step 4: Find \(\frac{547527}{82}\)
Now, we can express \(\frac{547527}{82}\) in terms of \(x\):

\[ \frac{547527}{82} = \frac{x}{10} \]

### Conclusion
Thus, the value of \(\frac{547527}{82}\) is:

\[ \frac{x}{10} \]

### Final Answer
The value of \(\frac{547527}{82}\) is \(\frac{x}{10}\).

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