The given problem is:

$\frac{7}{9} + \frac{1}{3}$

Solution:

1. To add fractions, first find a common denominator.

   • The denominators are 9 and 3.
   • The least common denominator (LCD) of 9 and 3 is 9.

2. Rewrite the fractions with the denominator of 9:

   • $\frac{1}{3} = \frac{3}{9}$

3. Add the fractions: $\frac{7}{9} + \frac{3}{9} = \frac{10}{9}$

4. Simplify the result if needed:

   • $\frac{10}{9}$ is an improper fraction and can also be written as $1 \frac{1}{9}$ in mixed number form.

Final Answer:

$\frac{10}{9} \text{ or } 1 \frac{1}{9}$

Would you like a detailed explanation of each step or have any specific questions?

Here are 5 related questions to deepen your understanding:

1. How do you find the least common denominator (LCD)?
2. What is the process for converting an improper fraction to a mixed number?
3. How would you subtract fractions with different denominators?
4. Can you multiply and simplify $\frac{7}{9} \times \frac{1}{3}$?
5. How do you convert a mixed number back to an improper fraction?

Tip: When working with fractions, always simplify your answer unless specified otherwise!