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