Let's solve the expression:

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

To simplify this, we can rewrite the 1 as a fraction with a denominator of 2:

$1 = \frac{2}{2}$

Now the expression becomes:

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

Since the denominators are the same, we can directly add the numerators:

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

So, the result is:

$\frac{1}{2}$

Would you like further clarification on how I simplified this? Or do you have other questions related to fractions or arithmetic?

Here are some related questions to explore:

1. How do you add or subtract fractions with different denominators?
2. What is the concept of simplifying fractions and why is it useful?
3. How do you convert mixed numbers to improper fractions?
4. How does the distributive property work with fractions?
5. Can you perform operations with negative fractions and how?

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