To add the fractions \( \frac{2}{3} \) and \( \frac{1}{9} \), you need a common denominator. The least common denominator (LCD) of 3 and 9 is 9.
Now, convert \( \frac{2}{3} \) to have 9 as the denominator:
\[ \frac{2}{3} = \frac{2 \times 3}{3 \times 3} = \frac{6}{9} \]
Now add \( \frac{6}{9} \) and \( \frac{1}{9} \):
\[ \frac{6}{9} + \frac{1}{9} = \frac{6 + 1}{9} = \frac{7}{9} \]
So, \( \frac{2}{3} + \frac{1}{9} = \frac{7}{9} \).
