To add $3/9 + 7 \frac{5}{9}$, follow these steps:

Step 1: Simplify the fraction $\frac{3}{9}$.

$\frac{3}{9} = \frac{1}{3}$ So the expression becomes: $\frac{1}{3} + 7 \frac{5}{9}$

Step 2: Convert the mixed number $7 \frac{5}{9}$ to an improper fraction.

$7 \frac{5}{9} = \frac{7 \times 9 + 5}{9} = \frac{63 + 5}{9} = \frac{68}{9}$

Step 3: Add the fractions $\frac{1}{3} + \frac{68}{9}$.

To add these, find a common denominator. The least common denominator (LCD) of 3 and 9 is 9. $\frac{1}{3} = \frac{3}{9}$ So now the expression becomes: $\frac{3}{9} + \frac{68}{9} = \frac{3 + 68}{9} = \frac{71}{9}$

Step 4: Simplify or convert the result.

$\frac{71}{9} = 7 \frac{8}{9}$

Thus, $3/9 + 7 \frac{5}{9} = 7 \frac{8}{9}$.

Would you like more details or have any questions?

Here are 5 related questions to expand this:

1. How do you convert improper fractions to mixed numbers?
2. How do you find the least common denominator of two fractions?
3. How can you simplify fractions before adding them?
4. What is the process for adding mixed numbers?
5. How would you subtract fractions with different denominators?

Tip: Always simplify fractions first to make calculations easier!