To convert \(-\frac{1}{6}\) to a decimal, you divide -1 by 6.
When you perform the division, you get:
\(-1 \div 6 = -0.1666...\)
This can be rounded to \(-0.167\) if you want to limit the decimal places, but it is often expressed as \(-0.1667\) if rounded to four decimal places.
So, \(-\frac{1}{6}\) as a decimal is approximately \(-0.1667\) (or \(-0.1666...\) repeating).