The problem is to evaluate the expression $\frac{2}{3} + \frac{1}{2} - \frac{1}{6}$.

1. Problem Description

The problem is to evaluate the expression $\frac{2}{3} + \frac{1}{2} - \frac{1}{6}$.

2. Solution Steps

To add or subtract fractions, we need to find a common denominator.

The least common multiple (LCM) of 3, 2, and 6 is

6. We rewrite each fraction with a denominator of

6.

$\frac{2}{3} = \frac{2 \times 2}{3 \times 2} = \frac{4}{6}$

$\frac{1}{2} = \frac{1 \times 3}{2 \times 3} = \frac{3}{6}$

$\frac{1}{6}$ remains as $\frac{1}{6}$.

Now we can rewrite the expression as:

$\frac{4}{6} + \frac{3}{6} - \frac{1}{6}$

$= \frac{4+3-1}{6}$

$= \frac{7-1}{6}$

$= \frac{6}{6}$

$= 1$

3. Final Answer

1