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-\frac{2}{9}+\frac{7}{9}
The opposite of -\frac{7}{9} is \frac{7}{9}.
\frac{-2+7}{9}
Since -\frac{2}{9} and \frac{7}{9} have the same denominator, add them by adding their numerators.
\frac{5}{9}
Add -2 and 7 to get 5.