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-\frac{1}{30}-\frac{5}{30}
Least common multiple of 30 and 6 is 30. Convert -\frac{1}{30} and \frac{1}{6} to fractions with denominator 30.
\frac{-1-5}{30}
Since -\frac{1}{30} and \frac{5}{30} have the same denominator, subtract them by subtracting their numerators.
\frac{-6}{30}
Subtract 5 from -1 to get -6.
-\frac{1}{5}
Reduce the fraction \frac{-6}{30} to lowest terms by extracting and canceling out 6.