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-\frac{4}{9}+\frac{2}{3}
The opposite of -\frac{2}{3} is \frac{2}{3}.
-\frac{4}{9}+\frac{6}{9}
Least common multiple of 9 and 3 is 9. Convert -\frac{4}{9} and \frac{2}{3} to fractions with denominator 9.
\frac{-4+6}{9}
Since -\frac{4}{9} and \frac{6}{9} have the same denominator, add them by adding their numerators.
\frac{2}{9}
Add -4 and 6 to get 2.