Solve 1/2div(1/4*(-2/3)

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

Evaluate

$$-3$$

Solution Steps

Multiply \frac{1}{4} times -\frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{1\left(-2\right)}{4\times 3}.

$$\frac{\frac{1}{2}}{\frac{-2}{12}}$$

Reduce the fraction \frac{-2}{12} to lowest terms by extracting and canceling out 2.

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

Divide \frac{1}{2} by -\frac{1}{6} by multiplying \frac{1}{2} by the reciprocal of -\frac{1}{6}.

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

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

$$\frac{-6}{2}$$

Divide -6 by 2 to get -3.

$$-3$$

Factor

$$-3$$