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The expression you provided is:

\[
-\frac{1}{15} + \left(-\frac{1}{9}\right)
\]

### Step-by-step solution:

1. **Rewrite the expression:**
   \[
   -\frac{1}{15} - \frac{1}{9}
   \]

2. **Find the least common denominator (LCD):**
   The denominators are 15 and 9. The least common denominator (LCD) of 15 and 9 is 45.

3. **Rewrite each fraction with the LCD:**
   \[
   -\frac{1}{15} = -\frac{3}{45}, \quad -\frac{1}{9} = -\frac{5}{45}
   \]

4. **Add the fractions:**
   \[
   -\frac{3}{45} - \frac{5}{45} = -\frac{8}{45}
   \]

### Final Answer:
\[
-\frac{8}{45}
\]

Let me know if you would like more details on the steps. Here are five related questions to explore further:

1. How do you find the least common denominator (LCD) between two fractions?
2. What are the rules for adding and subtracting fractions?
3. How do you simplify a fraction to its lowest terms?
4. What are common mistakes when dealing with negative fractions?
5. How would you handle subtraction between two improper fractions?

**Tip:** Always check if the result can be simplified further, though in this case, \(-\frac{8}{45}\) is already in its simplest form.

Evaluate the expression shown below and write your answer as a fraction in simplest form: -1/15 + (-1/9)

Learn how to add negative fractions with different denominators, using the least common denominator (LCD) method. This problem solves the sum of -1/15 and -1/9 step-by-step, providing a detailed solution with the final answer in simplest form. Suitable for students in Grades 6-8.

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