To add or subtract fractions, we need to find a common denominator. In this case, the common denominator is 101*6=606.

1/2 = 303/606
43/101 = 258/606
-1/3 = -202/606
-1/6 = -101/606

Now we can add or subtract the fractions:

303/606 - 258/606 - 202/606 - 101/606

= (303 - 258 - 202 - 101)/606

= -258/606

= -43/101

Therefore, 1/2 - 43/101 + (-1/3) - 1/6 = -43/101.