To simplify \( \frac{1/6}{1/3} \), you can multiply by the reciprocal of the divisor:
\[ \frac{1/6}{1/3} = \frac{1/6} \times \frac{3}{1} \]
Now, multiply the fractions:
\[ = \frac{1 \times 3}{6 \times 1} = \frac{3}{6} \]
Finally, simplify \( \frac{3}{6} \):
\[ \frac{3}{6} = \frac{1}{2} \]
So, \( \frac{1/6}{1/3} \) simplifies to \( \frac{1}{2} \).