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-\frac{1}{3}+\frac{1}{2}
Reduce the fraction \frac{3}{9} to lowest terms by extracting and canceling out 3.
-\frac{2}{6}+\frac{3}{6}
Least common multiple of 3 and 2 is 6. Convert -\frac{1}{3} and \frac{1}{2} to fractions with denominator 6.
\frac{-2+3}{6}
Since -\frac{2}{6} and \frac{3}{6} have the same denominator, add them by adding their numerators.
\frac{1}{6}
Add -2 and 3 to get 1.