Solve [(2)(-3/4):(-2/3)]

$$[ ( 2 ) ( - 3 / 4 ) : ( - 2 / 3 ) ]$$

Evaluate

$$\frac{9}{4}=2.25$$

Solution Steps

Express 2\left(-\frac{3}{4}\right) as a single fraction.

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

Multiply 2 and -3 to get -6.

$$\frac{\frac{-6}{4}}{-\frac{2}{3}}$$

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

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

Divide -\frac{3}{2} by -\frac{2}{3} by multiplying -\frac{3}{2} by the reciprocal of -\frac{2}{3}.

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

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

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

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

$$\frac{9}{4}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {2}} = 2\frac{1}{4} = 2.25$$