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-\frac{4}{3}+\frac{1}{2}
The opposite of -\frac{1}{2} is \frac{1}{2}.
-\frac{8}{6}+\frac{3}{6}
Least common multiple of 3 and 2 is 6. Convert -\frac{4}{3} and \frac{1}{2} to fractions with denominator 6.
\frac{-8+3}{6}
Since -\frac{8}{6} and \frac{3}{6} have the same denominator, add them by adding their numerators.
-\frac{5}{6}
Add -8 and 3 to get -5.