To add fractions, the first step is to find a common denominator. In this case, the least common multiple (LCM) of 3 and 9 is 9.
Next, we need to convert the fractions so they have the same denominator.
For 2/3, we need to multiply both the numerator and denominator by 3:
(2/3) x (3/3) = 6/9.
For 5/9, we don't need to change anything because the denominator is already 9.
Now that both fractions have a common denominator, we can add them together:
6/9 + 5/9 = 11/9.
Therefore, the sum of 2/3 and 5/9 is 11/9.
