Solve 1/6:[1/4(-1/2)]=

$$\frac { 1 } { 6 } : [ \frac { 1 } { 4 } ( - \frac { 1 } { 2 } ) ] =$$

Evaluate

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

Solution Steps

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

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

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

$$\frac{\frac{1}{6}}{\frac{-1}{8}}$$

Fraction \frac{-1}{8} can be rewritten as -\frac{1}{8} by extracting the negative sign.

$$\frac{\frac{1}{6}}{-\frac{1}{8}}$$

Divide \frac{1}{6} by -\frac{1}{8} by multiplying \frac{1}{6} by the reciprocal of -\frac{1}{8}.

$$\frac{1}{6}\left(-8\right)$$

Multiply \frac{1}{6} and -8 to get \frac{-8}{6}.

$$\frac{-8}{6}$$

Reduce the fraction \frac{-8}{6} to lowest terms by extracting and canceling out 2.

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

Factor

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