Solve -.5div(12div(2-6-12))

$$-.5 \div (12 \div (2-6-12))$$

Evaluate

$$\frac{2}{3}\approx 0.666666667$$

Solution Steps

Divide -0.5 by \frac{12}{2-6-12} by multiplying -0.5 by the reciprocal of \frac{12}{2-6-12}.

$$\frac{-0.5\left(2-6-12\right)}{12}$$

Subtract 6 from 2 to get -4.

$$\frac{-0.5\left(-4-12\right)}{12}$$

Subtract 12 from -4 to get -16.

$$\frac{-0.5\left(-16\right)}{12}$$

Multiply -0.5 and -16 to get 8.

$$\frac{8}{12}$$

Reduce the fraction \frac{8}{12} to lowest terms by extracting and canceling out 4.

$$\frac{2}{3}$$

Factor

$$\frac{2}{3} = 0.6666666666666666$$