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\frac{\frac{30\left(-1\right)}{6}}{40}
Express 30\left(-\frac{1}{6}\right) as a single fraction.
\frac{\frac{-30}{6}}{40}
Multiply 30 and -1 to get -30.
\frac{-5}{40}
Divide -30 by 6 to get -5.
-\frac{1}{8}
Reduce the fraction \frac{-5}{40} to lowest terms by extracting and canceling out 5.