1/2+1/6-1/3

To solve the expression \( \frac{1}{2} + \frac{1}{6} - \frac{1}{3} \), we first need a common denominator.

The common denominator for 2, 6, and 3 is 6. Now, we can convert each fraction:

\[ \frac{1}{2} = \frac{3}{6} \] \[ \frac{1}{6} = \frac{1}{6} \] \[ \frac{1}{3} = \frac{2}{6} \]

Now substitute these back into the expression:

\[ \frac{3}{6} + \frac{1}{6} - \frac{2}{6} \]

Now we combine the fractions:

\[ \frac{3 + 1 - 2}{6} = \frac{2}{6} \]

This can be simplified:

\[ \frac{2}{6} = \frac{1}{3} \]

Thus, \( \frac{1}{2} + \frac{1}{6} - \frac{1}{3} = \frac{1}{3} \).