To add $\frac{1}{2} + \frac{1}{3}$, we need a common denominator.

The least common denominator (LCD) of 2 and 3 is 6. So, we rewrite both fractions with the denominator 6:

$\frac{1}{2} = \frac{3}{6} \quad \text{and} \quad \frac{1}{3} = \frac{2}{6}$

Now, we can add them:

$\frac{3}{6} + \frac{2}{6} = \frac{5}{6}$

So, $\frac{1}{2} + \frac{1}{3} = \frac{5}{6}$.

Would you like a further explanation or any more examples? Here's a list of related questions:

1. How do you add fractions with different denominators?
2. What is the least common denominator (LCD)?
3. How do you simplify fractions after addition or subtraction?
4. What happens when the numerators or denominators are the same?
5. How can you subtract fractions with different denominators?

Tip: When adding or subtracting fractions, always find the least common denominator to make the process easier.