The problem is to compute $\frac{2}{3} + \frac{2}{9}$.

Step-by-Step Solution:

1. Find the Least Common Denominator (LCD):

   • The denominators are 3 and 9. The least common denominator is 9.

2. Rewrite the fractions with the LCD:

   • Rewrite $\frac{2}{3}$ with a denominator of 9: $\frac{2}{3} = \frac{6}{9}$
   • $\frac{2}{9}$ already has the denominator 9.

3. Add the fractions:

   • Now, add $\frac{6}{9} + \frac{2}{9}$: $\frac{6}{9} + \frac{2}{9} = \frac{8}{9}$

4. Final Answer: $\frac{8}{9}$

Thus, the correct choice is $\frac{8}{9}$.

Do you want more details or have any questions?

Related Questions:

1. How do you find the least common denominator for two fractions?
2. How do you convert improper fractions into mixed numbers?
3. Can you explain why adding fractions requires the same denominator?
4. What are other examples of adding fractions with different denominators?
5. How do you simplify fractions after addition?

Tip:

Always ensure the denominators are the same before adding fractions. This helps avoid errors in computation!