To solve $\frac{1}{2} + \frac{1}{6}$, you need to find a common denominator.

1. The least common denominator (LCD) of 2 and 6 is 6.
2. Rewrite $\frac{1}{2}$ as $\frac{3}{6}$ so that both fractions have the same denominator.
3. Now, add the fractions: $\frac{3}{6} + \frac{1}{6} = \frac{4}{6}$
4. Simplify $\frac{4}{6}$ by dividing both the numerator and denominator by 2: $\frac{4}{6} = \frac{2}{3}$

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

Would you like more details on this? Here are five related questions:

1. How do you find the least common denominator of two fractions?
2. What are the steps to add two fractions with different denominators?
3. How do you simplify fractions?
4. Can you add more than two fractions with different denominators?
5. How do you subtract fractions?

Tip: Always simplify fractions when possible to get the most reduced form of your answer.