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-\frac{21}{6}+\frac{4}{6}
Least common multiple of 2 and 3 is 6. Convert -\frac{7}{2} and \frac{2}{3} to fractions with denominator 6.
\frac{-21+4}{6}
Since -\frac{21}{6} and \frac{4}{6} have the same denominator, add them by adding their numerators.
-\frac{17}{6}
Add -21 and 4 to get -17.