Add. \[ \frac{1}{2}+\frac{1}{6} \]

Step 1 ：To add the fractions \(\frac{1}{2}\) and \(\frac{1}{6}\), we need to find a common denominator. The common denominator of 2 and 6 is 6.

Step 2 ：So we can convert \(\frac{1}{2}\) to \(\frac{3}{6}\) and then add it to \(\frac{1}{6}\).

Step 3 ：The final result is \(\frac{3}{6} + \frac{1}{6} = \frac{4}{6}\).

Step 4 ：Simplify the final result to get \(\boxed{\frac{2}{3}}\).