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-\frac{4}{18}+\frac{15}{18}
Least common multiple of 9 and 6 is 18. Convert -\frac{2}{9} and \frac{5}{6} to fractions with denominator 18.
\frac{-4+15}{18}
Since -\frac{4}{18} and \frac{15}{18} have the same denominator, add them by adding their numerators.
\frac{11}{18}
Add -4 and 15 to get 11.