The expression is:

$-6 + \frac{1}{2}$

To simplify this, we can write -6 as a fraction with the same denominator as $\frac{1}{2}$:

$-6 = \frac{-12}{2}$

Now, add the two fractions:

$\frac{-12}{2} + \frac{1}{2} = \frac{-12 + 1}{2} = \frac{-11}{2}$

So, the simplified result is:

$\frac{-11}{2}$

Or in decimal form, it is:

$-5.5$

Would you like more details or have any questions on this? Here are a few related questions to explore:

1. How do you add and subtract fractions with different denominators?
2. What is the process for converting improper fractions to mixed numbers?
3. How do you simplify complex algebraic expressions?
4. Can you explain how to work with negative numbers in fraction form?
5. What is the difference between positive and negative rational numbers?

Tip: When adding or subtracting fractions, always make sure the denominators are the same before performing the operation!