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-\frac{1}{6}-\frac{3}{6}
Least common multiple of 6 and 2 is 6. Convert -\frac{1}{6} and \frac{1}{2} to fractions with denominator 6.
\frac{-1-3}{6}
Since -\frac{1}{6} and \frac{3}{6} have the same denominator, subtract them by subtracting their numerators.
\frac{-4}{6}
Subtract 3 from -1 to get -4.
-\frac{2}{3}
Reduce the fraction \frac{-4}{6} to lowest terms by extracting and canceling out 2.