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

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

Evaluate

$$-\frac{1}{2}=-0.5$$

Solution Steps

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

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

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

$$\frac{\frac{2}{12}}{-\frac{1}{3}}$$

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

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

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

$$\frac{1}{6}\left(-3\right)$$

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

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

Reduce the fraction \frac{-3}{6} to lowest terms by extracting and canceling out 3.

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

Factor

$$-\frac{1}{2} = -0.5$$