Answer
$\frac{8}{9}$
Work Step by Step
First, we must find the least common denominator (or the denominator that is the least common multiple of the original denominators) of 3 and 9.
3- 3, 6, 9
9- 9
Therefore, the LCM of 3 and 9 is 9. Next, we can rewrite the two fractions as like fractions and add them together.
$\frac{2}{3}+\frac{2}{9}=\frac{2\times3}{3\times3}+\frac{2}{9}=\frac{6}{9}+\frac{2}{9}=\frac{6+2}{9}=\frac{8}{9}$