The expression given is:

\[
\frac{8}{3} + \left(-\frac{9}{4}\right)
\]

To solve this, we need to find a common denominator so that the fractions can be added. The least common denominator (LCD) of 3 and 4 is 12.

1. Convert \(\frac{8}{3}\) to a fraction with a denominator of 12:
   \[
   \frac{8}{3} = \frac{8 \times 4}{3 \times 4} = \frac{32}{12}
   \]

2. Convert \(-\frac{9}{4}\) to a fraction with a denominator of 12:
   \[
   -\frac{9}{4} = \frac{-9 \times 3}{4 \times 3} = \frac{-27}{12}
   \]

3. Now, add the two fractions:
   \[
   \frac{32}{12} + \frac{-27}{12} = \frac{32 - 27}{12} = \frac{5}{12}
   \]

So, the answer is:

\[
\frac{5}{12}
\]

Would you like further details or have any questions? Here are five related questions you might find interesting:

1. How do you add fractions with different denominators?
2. What is the least common denominator, and how do you find it?
3. How do you subtract fractions with unlike denominators?
4. Can you explain how to convert a mixed number into an improper fraction?
5. How do you simplify a fraction after performing an operation?

**Tip:** Always look for the least common denominator when adding or subtracting fractions to simplify the calculation process.

Learn how to add fractions \(\frac{8}{3}\) and \(-\frac{9}{4}\) with a step-by-step solution. Understand the concept of finding a common denominator and converting fractions to add them. Suitable for students in Grades 5-8.

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