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\frac{4}{9}+\frac{7}{9}
The opposite of -\frac{7}{9} is \frac{7}{9}.
\frac{4+7}{9}
Since \frac{4}{9} and \frac{7}{9} have the same denominator, add them by adding their numerators.
\frac{11}{9}
Add 4 and 7 to get 11.