Solve 12div[(-3)*(-6)div(-2)]

$$12 \div [ ( - 3 ) \times ( - 6 ) \div ( - 2 ) ]$$

Evaluate

$$-\frac{4}{3}\approx -1.333333333$$

Solution Steps

Divide 12 by \frac{-3\left(-6\right)}{-2} by multiplying 12 by the reciprocal of \frac{-3\left(-6\right)}{-2}.

$$\frac{12\left(-2\right)}{-3\left(-6\right)}$$

Cancel out 2\times 3 in both numerator and denominator.

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

Multiply -2 and 2 to get -4.

$$\frac{-4}{-3\left(-1\right)}$$

Multiply -3 and -1 to get 3.

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

Fraction \frac{-4}{3} can be rewritten as -\frac{4}{3} by extracting the negative sign.

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

Factor

$$-\frac{4}{3} = -1\frac{1}{3} = -1.3333333333333333$$