It seems like you have provided the expression:

\[
-\frac{6}{9} + \frac{9}{24}
\]

Let's simplify this.

1. First, simplify \(-\frac{6}{9}\). This fraction can be reduced by dividing both the numerator and denominator by 3:
   \[
   -\frac{6}{9} = -\frac{2}{3}
   \]

2. Now, simplify \(\frac{9}{24}\). This fraction can be reduced by dividing both the numerator and denominator by 3:
   \[
   \frac{9}{24} = \frac{3}{8}
   \]

So, the expression becomes:
\[
-\frac{2}{3} + \frac{3}{8}
\]

3. To add these fractions, we need a common denominator. The least common denominator (LCD) of 3 and 8 is 24.

4. Rewrite each fraction with the denominator of 24:
   \[
   -\frac{2}{3} = -\frac{16}{24}, \quad \frac{3}{8} = \frac{9}{24}
   \]

5. Now, add the fractions:
   \[
   -\frac{16}{24} + \frac{9}{24} = \frac{-16 + 9}{24} = \frac{-7}{24}
   \]

The final simplified result is:
\[
-\frac{7}{24}
\]

Would you like more details on any step or further clarification?

---

Here are 5 relative questions:
1. How do you find the least common denominator of two fractions?
2. Can you explain how to reduce fractions step by step?
3. What is the process to add and subtract fractions with different denominators?
4. What are the rules for simplifying negative fractions?
5. Why is finding a common denominator important when adding fractions?

**Tip:** Always reduce fractions to their simplest form before performing operations for easier calculations!

Learn how to simplify and add fractions with different denominators using the example -6/9 + 9/24. This detailed solution covers reducing fractions to their simplest form, finding the least common denominator, and performing fraction addition. Ideal for students in Grades 5-7.

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