The expression to simplify is:

\[
\frac{8}{6} + \left(-\frac{9}{5}\right)
\]

First, simplify \(\frac{8}{6}\):

\[
\frac{8}{6} = \frac{4}{3}
\]

So, the expression becomes:

\[
\frac{4}{3} - \frac{9}{5}
\]

To subtract these fractions, find a common denominator. The least common denominator (LCD) between 3 and 5 is 15.

Convert the fractions:

\[
\frac{4}{3} = \frac{4 \times 5}{3 \times 5} = \frac{20}{15}
\]
\[
-\frac{9}{5} = \frac{-9 \times 3}{5 \times 3} = -\frac{27}{15}
\]

Now, subtract the fractions:

\[
\frac{20}{15} - \frac{27}{15} = \frac{20 - 27}{15} = \frac{-7}{15}
\]

So, the simplified result 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 determine the least common denominator for any pair of fractions?
2. What is the process for simplifying fractions before performing operations?
3. How do you handle subtraction when one of the fractions is negative?
4. What steps would you take if the fractions had different signs and different denominators?
5. How can you check if the final fraction result is already in its simplest form?

**Tip:** Simplify fractions at the beginning to make operations easier.

Learn how to simplify the expression 8/6 + (-9/5) step-by-step with a detailed solution. This problem covers fractions, operations with fractions, and handling negative fractions. Suitable for Grades 6-8.

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