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\frac{2\times 6}{6\left(-1\right)}
Divide \frac{2}{6} by -\frac{1}{6} by multiplying \frac{2}{6} by the reciprocal of -\frac{1}{6}.
\frac{2}{-1}
Cancel out 2\times 3 in both numerator and denominator.
-2
Fraction \frac{2}{-1} can be rewritten as -2 by extracting the negative sign.