Solve 27/32div(-9/4)

$$\frac { 27 } { 32 } \div ( - \frac { 9 } { 4 } )$$

Evaluate

$$-\frac{3}{8}=-0.375$$

Solution Steps

Divide \frac{27}{32} by -\frac{9}{4} by multiplying \frac{27}{32} by the reciprocal of -\frac{9}{4}.

$$\frac{27}{32}\left(-\frac{4}{9}\right)$$

Multiply \frac{27}{32} times -\frac{4}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{27\left(-4\right)}{32\times 9}$$

Do the multiplications in the fraction \frac{27\left(-4\right)}{32\times 9}.

$$\frac{-108}{288}$$

Reduce the fraction \frac{-108}{288} to lowest terms by extracting and canceling out 36.

$$-\frac{3}{8}$$

Factor

$$-\frac{3}{8} = -0.375$$