Cody is correct.
If you multiply 1/6, which is a positive number, by any negative number, then the result will be negative. All negative numbers are less that 1/6, because all negative numbers are to the left of 1/6 on the number line.
1/6 * (-12) = -2 and -2 < 1/6
1/6 * (-1/10) = -1/60 and -1/60 < 1/6