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