Solve 1-[2^-1-(1/6-1)]

$$1 - [ 2 ^ { - 1 } - ( \frac { 1 } { 6 } - 1 ) ]$$

Evaluate

$$-\frac{1}{3}\approx -0.333333333$$

Solution Steps

Calculate 2 to the power of -1 and get \frac{1}{2}.

$$1-\left(\frac{1}{2}-\left(\frac{1}{6}-1\right)\right)$$

Subtract 1 from \frac{1}{6} to get -\frac{5}{6}.

$$1-\left(\frac{1}{2}-\left(-\frac{5}{6}\right)\right)$$

The opposite of -\frac{5}{6} is \frac{5}{6}.

$$1-\left(\frac{1}{2}+\frac{5}{6}\right)$$

Add \frac{1}{2} and \frac{5}{6} to get \frac{4}{3}.

$$1-\frac{4}{3}$$

Subtract \frac{4}{3} from 1 to get -\frac{1}{3}.

$$-\frac{1}{3}$$

Factor

$$-\frac{1}{3} = -0.3333333333333333$$