Solve 2/(-3/2)(-3/2)

$$\frac { 2 } { ( - 3 / 2 ) } ( - 3 / 2 )$$

Evaluate

$$2$$

Solution Steps

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

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

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

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

Multiply 2 and -2 to get -4.

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

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

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

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

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

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

$$\frac{12}{6}$$

Divide 12 by 6 to get 2.

$$2$$

Factor

$$2$$