The expression in the image is:

$\frac{9}{5} + \left( \frac{-4}{3} \right)$

Step-by-step solution:

1. Identify a common denominator: The denominators are 5 and 3. The least common denominator (LCD) between 5 and 3 is 15.

2. Rewrite each fraction with the LCD:

   • $\frac{9}{5} = \frac{9 \times 3}{5 \times 3} = \frac{27}{15}$
   • $\frac{-4}{3} = \frac{-4 \times 5}{3 \times 5} = \frac{-20}{15}$

3. Add the fractions: $\frac{27}{15} + \frac{-20}{15} = \frac{27 - 20}{15} = \frac{7}{15}$

Thus, the final answer is:

$\frac{7}{15}$

Would you like more details or have any questions?

Here are 5 related questions you might find interesting:

1. How do you subtract fractions with different denominators?
2. What is the method to find the least common denominator (LCD)?
3. Can you explain how to convert improper fractions into mixed numbers?
4. What happens when you add two negative fractions together?
5. How can you simplify fractions effectively?

Tip: Always look for the least common denominator when adding or subtracting fractions to simplify your calculations.