Solve (-5/9):(-6/36)=

$$( - \frac { 5 } { 9 } ) : ( - \frac { 6 } { 36 } ) =$$

Evaluate

$$\frac{10}{3}\approx 3.333333333$$

Solution Steps

Reduce the fraction \frac{6}{36} to lowest terms by extracting and canceling out 6.

$$\frac{-\frac{5}{9}}{-\frac{1}{6}}$$

Divide -\frac{5}{9} by -\frac{1}{6} by multiplying -\frac{5}{9} by the reciprocal of -\frac{1}{6}.

$$-\frac{5}{9}\left(-6\right)$$

Express -\frac{5}{9}\left(-6\right) as a single fraction.

$$\frac{-5\left(-6\right)}{9}$$

Multiply -5 and -6 to get 30.

$$\frac{30}{9}$$

Reduce the fraction \frac{30}{9} to lowest terms by extracting and canceling out 3.

$$\frac{10}{3}$$

Factor

$$\frac{2 \cdot 5}{3} = 3\frac{1}{3} = 3.3333333333333335$$