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-\frac{88}{55}+\frac{120}{55}
Least common multiple of 5 and 11 is 55. Convert -\frac{8}{5} and \frac{24}{11} to fractions with denominator 55.
\frac{-88+120}{55}
Since -\frac{88}{55} and \frac{120}{55} have the same denominator, add them by adding their numerators.
\frac{32}{55}
Add -88 and 120 to get 32.