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-\frac{1}{2}+\frac{3+2}{3}
Multiply 1 and 3 to get 3.
-\frac{1}{2}+\frac{5}{3}
Add 3 and 2 to get 5.
-\frac{3}{6}+\frac{10}{6}
Least common multiple of 2 and 3 is 6. Convert -\frac{1}{2} and \frac{5}{3} to fractions with denominator 6.
\frac{-3+10}{6}
Since -\frac{3}{6} and \frac{10}{6} have the same denominator, add them by adding their numerators.
\frac{7}{6}
Add -3 and 10 to get 7.