Solve (-8/9)div(-4/3)=?

$$( - \frac { 8 } { 9 } ) \div ( - \frac { 4 } { 3 } ) = ?$$

Evaluate

$$\frac{2}{3}\approx 0.666666667$$

Solution Steps

Divide -\frac{8}{9} by -\frac{4}{3} by multiplying -\frac{8}{9} by the reciprocal of -\frac{4}{3}.

$$-\frac{8}{9}\left(-\frac{3}{4}\right)$$

Multiply -\frac{8}{9} times -\frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-8\left(-3\right)}{9\times 4}$$

Do the multiplications in the fraction \frac{-8\left(-3\right)}{9\times 4}.

$$\frac{24}{36}$$

Reduce the fraction \frac{24}{36} to lowest terms by extracting and canceling out 12.

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

Factor

$$\frac{2}{3} = 0.6666666666666666$$