To divide \( \frac{6}{4} \) by \( -\frac{1}{2} \), you can multiply \( \frac{6}{4} \) by the reciprocal of \( -\frac{1}{2} \):
\[ \frac{6}{4} \div -\frac{1}{2} = \frac{6}{4} \times -2 \]
Now, simplify \( \frac{6}{4} \):
\[ \frac{6}{4} = \frac{3}{2} \]
Next, multiply:
\[ \frac{3}{2} \times -2 = -3 \]
So, the result of \( \frac{6}{4} \div -\frac{1}{2} \) is:
\[ \boxed{-3} \]