Solve (-4/9):(-8/36)=

$$( - \frac { 4 } { 9 } ) : ( - \frac { 8 } { 36 } ) =$$

Evaluate

$$2$$

Solution Steps

Reduce the fraction \frac{8}{36} to lowest terms by extracting and canceling out 4.

$$\frac{-\frac{4}{9}}{-\frac{2}{9}}$$

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

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

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

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

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

$$\frac{36}{18}$$

Divide 36 by 18 to get 2.

$$2$$

Factor

$$2$$