Solve 9/4div(-2/3)

$$\frac { 9 } { 4 } \div ( - \frac { 2 } { 3 } )$$

Evaluate

$$-\frac{27}{8}=-3.375$$

Solution Steps

Divide \frac{9}{4} by -\frac{2}{3} by multiplying \frac{9}{4} by the reciprocal of -\frac{2}{3}.

$$\frac{9}{4}\left(-\frac{3}{2}\right)$$

Multiply \frac{9}{4} times -\frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\left(-3\right)}{4\times 2}$$

Do the multiplications in the fraction \frac{9\left(-3\right)}{4\times 2}.

$$\frac{-27}{8}$$

Fraction \frac{-27}{8} can be rewritten as -\frac{27}{8} by extracting the negative sign.

$$-\frac{27}{8}$$

Factor

$$-\frac{27}{8} = -3\frac{3}{8} = -3.375$$