Let's solve the expression $0.5 + \frac{1}{3}$.

1. First, express $0.5$ as a fraction: $0.5 = \frac{1}{2}$

2. Now, add $\frac{1}{2} + \frac{1}{3}$. To do this, we need a common denominator: $\text{The least common denominator (LCD) of 2 and 3 is 6.}$

   Convert each fraction: $\frac{1}{2} = \frac{3}{6}, \quad \frac{1}{3} = \frac{2}{6}$

3. Now add the fractions: $\frac{3}{6} + \frac{2}{6} = \frac{5}{6}$

Thus, $0.5 + \frac{1}{3} = \frac{5}{6}$.

If the numbers you were given include $\frac{5}{6}$, that would be the correct answer.

Would you like further details or clarifications?

Here are 5 related questions:

1. How do you add two fractions with different denominators?
2. What is the least common denominator (LCD) and how is it found?
3. Can decimal numbers always be converted to fractions? If so, how?
4. What is the decimal approximation of $\frac{5}{6}$?
5. How can you simplify fractions when adding or subtracting?

Tip: When adding or subtracting fractions, always convert them to have a common denominator first!