Divide `(-1)/(2) by (1)/(6).`

Answer

To solve the problem of dividing \(-\frac{1}{2}\) by \(\frac{1}{6}\), we can follow these steps:

### Step 1: Write the division as a multiplication
We start with the expression:
\[ -\frac{1}{2} \div \frac{1}{6} \]
To divide by a fraction, we multiply by its reciprocal. Thus, we can rewrite the expression as:
\[ -\frac{1}{2} \times \frac{6}{1} \]

### Step 2: Multiply the fractions
Now, we multiply the two fractions:
\[ -\frac{1 \times 6}{2 \times 1} = -\frac{6}{2} \]

### Step 3: Simplify the fraction
Next, we simplify \(-\frac{6}{2}\):
\[ -\frac{6}{2} = -3 \]

### Final Answer
Thus, the result of dividing \(-\frac{1}{2}\) by \(\frac{1}{6}\) is:
\[ -3 \]

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