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\frac{6}{3\left(-1\right)}
Divide \frac{1}{3} by \frac{-1}{6} by multiplying \frac{1}{3} by the reciprocal of \frac{-1}{6}.
\frac{6}{-3}
Multiply 3 and -1 to get -3.
-2
Divide 6 by -3 to get -2.