What is the value of x if `((1)/(2))/(x)=4`?

Options

A. `8`
B. `2`
C. `(1)/(4)`
D. `(1)/(8)`

Answer

To solve the equation \(\frac{1}{2}/x = 4\), we can follow these steps:

### Step 1: Rewrite the equation
We start with the equation:
\[ \frac{1}{2}/x = 4 \]
This can be rewritten as:
\[ \frac{1}{2} \cdot \frac{1}{x} = 4 \]

### Step 2: Cross-multiply
To eliminate the fraction, we can cross-multiply:
\[ 1 \cdot 1 = 4 \cdot 2x \]
This simplifies to:
\[ 1 = 8x \]

### Step 3: Solve for \(x\)
Now, we can solve for \(x\) by dividing both sides by 8:
\[ x = \frac{1}{8} \]

### Final Answer
Thus, the value of \(x\) is:
\[ \boxed{\frac{1}{8}} \]

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