The sum of $\frac{1}{2} + \frac{1}{6}$ can be calculated by finding a common denominator.

1. The denominators are 2 and 6. The least common denominator (LCD) is 6.
2. Rewrite $\frac{1}{2}$ with a denominator of 6:
   $\frac{1}{2} = \frac{3}{6}$.
3. Now, add $\frac{3}{6} + \frac{1}{6}$: $\frac{3}{6} + \frac{1}{6} = \frac{4}{6}.$
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 any of the steps?

Here are 5 related questions:

1. What is $\frac{3}{4} + \frac{1}{2}$?
2. How do you subtract $\frac{5}{6} - \frac{1}{2}$?
3. What is the least common denominator of $\frac{5}{12}$ and $\frac{7}{18}$?
4. How do you add mixed numbers like $1 \frac{1}{2} + 2 \frac{1}{3}$?
5. Can you multiply $\frac{2}{3} \times \frac{4}{5}$?

Tip: When adding or subtracting fractions, always find the least common denominator to simplify your work.