Simplify the following expression: (17)/(34) x (6)/(12) x (1)/(8)

Notice that $34 = 2 \times 17$, so $\frac{17}{34}$ simplifies to $\frac{1}{2}$.
Also, $12 = 2 \times 6$, so $\frac{6}{12}$ simplifies to $\frac{1}{2}$.

$$\frac{1}{\cancel{34}_2} \times \frac{\cancel{6}_1}{\cancel{12}_2} \times \frac{1}{8}$$

$$\frac{1 \times 1 \times 1}{2 \times 2 \times 8} = \frac{1}{32}$$

The final answer is $\frac{1}{32}$.