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

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

Evaluate

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

Solution Steps

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

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

Cancel out 3 in both numerator and denominator.

$$\frac{\frac{-1}{2}}{\frac{1}{4}}\times \frac{2}{3}$$

Fraction \frac{-1}{2} can be rewritten as -\frac{1}{2} by extracting the negative sign.

$$\frac{-\frac{1}{2}}{\frac{1}{4}}\times \frac{2}{3}$$

Divide -\frac{1}{2} by \frac{1}{4} by multiplying -\frac{1}{2} by the reciprocal of \frac{1}{4}.

$$-\frac{1}{2}\times 4\times \frac{2}{3}$$

Express -\frac{1}{2}\times 4 as a single fraction.

$$\frac{-4}{2}\times \frac{2}{3}$$

Divide -4 by 2 to get -2.

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

Express -2\times \frac{2}{3} as a single fraction.

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

Multiply -2 and 2 to get -4.

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

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

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

Factor

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