Solve {l}{(-4/7):2}{(-8/9):(-4)}

$$\left. \begin{array} { l } { ( - \frac { 4 } { 7 } ) : 2 } \\ { ( - \frac { 8 } { 9 } ) : ( - 4 ) } \end{array} \right.$$

Sort

$$-\frac{2}{7},\frac{2}{9}$$

Solution Steps

Express \frac{-\frac{4}{7}}{2} as a single fraction.

$$sort(\frac{-4}{7\times 2},\frac{-\frac{8}{9}}{-4})$$

Multiply 7 and 2 to get 14.

$$sort(\frac{-4}{14},\frac{-\frac{8}{9}}{-4})$$

Reduce the fraction \frac{-4}{14} to lowest terms by extracting and canceling out 2.

$$sort(-\frac{2}{7},\frac{-\frac{8}{9}}{-4})$$

Express \frac{-\frac{8}{9}}{-4} as a single fraction.

$$sort(-\frac{2}{7},\frac{-8}{9\left(-4\right)})$$

Multiply 9 and -4 to get -36.

$$sort(-\frac{2}{7},\frac{-8}{-36})$$

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

$$sort(-\frac{2}{7},\frac{2}{9})$$

Least common denominator of the numbers in the list -\frac{2}{7},\frac{2}{9} is 63. Convert numbers in the list to fractions with denominator 63.

$$-\frac{18}{63},\frac{14}{63}$$

Evaluate

$$-\frac{2}{7},\ \frac{2}{9}$$