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\frac{1}{6\left(-1\right)}
Express \frac{\frac{1}{6}}{-1} as a single fraction.
\frac{1}{-6}
Multiply 6 and -1 to get -6.
-\frac{1}{6}
Fraction \frac{1}{-6} can be rewritten as -\frac{1}{6} by extracting the negative sign.