Solve 3/4div(-9/16)

$$\frac { 3 } { 4 } \div ( - \frac { 9 } { 16 } )$$

Evaluate

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

Solution Steps

Divide \frac{3}{4} by -\frac{9}{16} by multiplying \frac{3}{4} by the reciprocal of -\frac{9}{16}.

$$\frac{3}{4}\left(-\frac{16}{9}\right)$$

Multiply \frac{3}{4} times -\frac{16}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\left(-16\right)}{4\times 9}$$

Do the multiplications in the fraction \frac{3\left(-16\right)}{4\times 9}.

$$\frac{-48}{36}$$

Reduce the fraction \frac{-48}{36} to lowest terms by extracting and canceling out 12.

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

Factor

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