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-\frac{8}{9}+\frac{15}{9}
Least common multiple of 9 and 3 is 9. Convert -\frac{8}{9} and \frac{5}{3} to fractions with denominator 9.
\frac{-8+15}{9}
Since -\frac{8}{9} and \frac{15}{9} have the same denominator, add them by adding their numerators.
\frac{7}{9}
Add -8 and 15 to get 7.