To solve the expression \( \frac{5}{11} + \frac{39}{9} \), we need to find a common denominator and add the fractions.

1. The fractions are \( \frac{5}{11} \) and \( \frac{39}{9} \). The least common denominator (LCD) of 11 and 9 is 99.

2. Rewrite each fraction with the denominator of 99:

   - For \( \frac{5}{11} \):
     \[
     \frac{5}{11} = \frac{5 \times 9}{11 \times 9} = \frac{45}{99}
     \]

   - For \( \frac{39}{9} \):
     \[
     \frac{39}{9} = \frac{39 \times 11}{9 \times 11} = \frac{429}{99}
     \]

3. Add the two fractions:
   \[
   \frac{45}{99} + \frac{429}{99} = \frac{45 + 429}{99} = \frac{474}{99}
   \]

4. Simplify the fraction \( \frac{474}{99} \):
   - The greatest common divisor (GCD) of 474 and 99 is 3.
   - Simplifying:
     \[
     \frac{474}{99} = \frac{474 \div 3}{99 \div 3} = \frac{158}{33}
     \]

So, the simplified result is:

\[
\frac{5}{11} + \frac{39}{9} = \frac{158}{33}
\]

Would you like a further breakdown or have any questions?

Here are 5 related questions:
1. How do you find the least common denominator of two fractions?
2. What is the process for simplifying fractions?
3. How can you add fractions with different denominators?
4. What are some tips for finding the GCD of two numbers?
5. How do you convert improper fractions to mixed numbers?

**Tip:** Always simplify fractions when possible to make the final answer easier to understand.

Learn how to solve the fraction addition problem 5/11 + 39/9. This solution covers the concepts of finding a common denominator, adding fractions, and simplifying using the GCD. Ideal for students in Grades 6-8.

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