Simplify the following expression: (1 - (1/5 - 1/6)) * (1 - 1/3)

Step 1: Evaluate the first parenthesis.

$$\left(\frac{1}{5} - \frac{1}{6}\right)$$

To subtract these fractions, find a common denominator, which is 30.

$$\frac{1 \cdot 6}{5 \cdot 6} - \frac{1 \cdot 5}{6 \cdot 5} = \frac{6}{30} - \frac{5}{30} = \frac{6-5}{30} = \frac{1}{30}$$

Step 2: Evaluate the inner parenthesis of the bracket.

$$\left(1 - \frac{1}{3}\right)$$ $$$$