Solve 1/2(-1/3)div1/4=

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

Evaluate

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

Solution Steps

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

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

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

$$\frac{\frac{-1}{6}}{\frac{1}{4}}$$

Fraction \frac{-1}{6} can be rewritten as -\frac{1}{6} by extracting the negative sign.

$$\frac{-\frac{1}{6}}{\frac{1}{4}}$$

Divide -\frac{1}{6} by \frac{1}{4} by multiplying -\frac{1}{6} by the reciprocal of \frac{1}{4}.

$$-\frac{1}{6}\times 4$$

Express -\frac{1}{6}\times 4 as a single fraction.

$$\frac{-4}{6}$$

Reduce the fraction \frac{-4}{6} to lowest terms by extracting and canceling out 2.

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

Factor

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