Solve -(-1/2)^-2-1/2*(2/6)/1-frac{1{2}*frac{4}{3}}

$$\frac { - ( \frac { - 1 } { 2 } ) ^ { - 2 } - \frac { 1 } { 2 } \cdot ( \frac { 2 } { 6 } ) } { 1 - \frac { 1 } { 2 } \cdot \frac { 4 } { 3 } }$$

Evaluate

$$-\frac{25}{2}=-12.5$$

Solution Steps

Fraction \frac{-1}{2} can be rewritten as -\frac{1}{2} by extracting the negative sign.

$$\frac{-\left(-\frac{1}{2}\right)^{-2}-\frac{1}{2}\times \frac{2}{6}}{1-\frac{1}{2}\times \frac{4}{3}}$$

Calculate -\frac{1}{2} to the power of -2 and get 4.

$$\frac{-4-\frac{1}{2}\times \frac{2}{6}}{1-\frac{1}{2}\times \frac{4}{3}}$$

Reduce the fraction \frac{2}{6} to lowest terms by extracting and canceling out 2.

$$\frac{-4-\frac{1}{2}\times \frac{1}{3}}{1-\frac{1}{2}\times \frac{4}{3}}$$

Multiply \frac{1}{2} and \frac{1}{3} to get \frac{1}{6}.

$$\frac{-4-\frac{1}{6}}{1-\frac{1}{2}\times \frac{4}{3}}$$

Subtract \frac{1}{6} from -4 to get -\frac{25}{6}.

$$\frac{-\frac{25}{6}}{1-\frac{1}{2}\times \frac{4}{3}}$$

Multiply \frac{1}{2} and \frac{4}{3} to get \frac{2}{3}.

$$\frac{-\frac{25}{6}}{1-\frac{2}{3}}$$

Subtract \frac{2}{3} from 1 to get \frac{1}{3}.

$$\frac{-\frac{25}{6}}{\frac{1}{3}}$$

Divide -\frac{25}{6} by \frac{1}{3} by multiplying -\frac{25}{6} by the reciprocal of \frac{1}{3}.

$$-\frac{25}{6}\times 3$$

Multiply -\frac{25}{6} and 3 to get -\frac{25}{2}.

$$-\frac{25}{2}$$

Factor

$$-\frac{25}{2} = -12\frac{1}{2} = -12.5$$