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-\frac{5}{2}+\frac{4}{3}
Fraction \frac{-5}{2} can be rewritten as -\frac{5}{2} by extracting the negative sign.
-\frac{15}{6}+\frac{8}{6}
Least common multiple of 2 and 3 is 6. Convert -\frac{5}{2} and \frac{4}{3} to fractions with denominator 6.
\frac{-15+8}{6}
Since -\frac{15}{6} and \frac{8}{6} have the same denominator, add them by adding their numerators.
-\frac{7}{6}
Add -15 and 8 to get -7.