The given expression is:

\[
\frac{2}{-5} - \frac{8}{9}
\]

To solve this, follow these steps:

1. Simplify the fractions: \(\frac{2}{-5} = -\frac{2}{5}\)
   
   Now the expression becomes:
   \[
   -\frac{2}{5} - \frac{8}{9}
   \]

2. Find a common denominator between 5 and 9, which is 45.

3. Convert both fractions to have the denominator of 45:

   \[
   -\frac{2}{5} = -\frac{18}{45}, \quad \frac{8}{9} = \frac{40}{45}
   \]

4. Now subtract the fractions:

   \[
   -\frac{18}{45} - \frac{40}{45} = \frac{-18 - 40}{45} = \frac{-58}{45}
   \]

So the final answer is:

\[
\frac{-58}{45}
\]

Would you like further details or explanations?

Here are five related questions:
1. How do you find a common denominator between two fractions?
2. Can you simplify the fraction \(\frac{-58}{45}\) further?
3. What is the decimal equivalent of \(\frac{-58}{45}\)?
4. How do you subtract fractions with different denominators?
5. What is the result of adding \(\frac{2}{-5}\) and \(\frac{8}{9}\)?

**Tip**: When subtracting fractions, always remember to convert them to a common denominator before performing the operation.

Learn how to subtract fractions in the expression 2/-5 - 8/9 by finding a common denominator and simplifying the result. This detailed solution explains the key concepts of fraction subtraction, including converting to a common denominator. Suitable for students in Grades 6-8.

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