Solve {l}{(-5,6):(-8)}{(+5,6):(-8)}

$$\left. \begin{array} { l } { ( - 5,6 ) : ( - 8 ) } \\ { ( + 5,6 ) : ( - 8 ) } \end{array} \right.$$

Sort

$$-0,7;0,7$$

Solution Steps

Expand \frac{-5,6}{-8} by multiplying both numerator and the denominator by 10.

$$sort(\frac{-56}{-80};\frac{5,6}{-8})$$

Reduce the fraction \frac{-56}{-80} to lowest terms by extracting and canceling out -8.

$$sort(\frac{7}{10};\frac{5,6}{-8})$$

Expand \frac{5,6}{-8} by multiplying both numerator and the denominator by 10.

$$sort(\frac{7}{10};\frac{56}{-80})$$

Reduce the fraction \frac{56}{-80} to lowest terms by extracting and canceling out 8.

$$sort(\frac{7}{10};-\frac{7}{10})$$

To sort the list, start from a single element \frac{7}{10}.

$$\frac{7}{10}$$

Insert -\frac{7}{10} to the appropriate location in the new list.

$$-\frac{7}{10};\frac{7}{10}$$

Evaluate

$$0,7,\ -0,7$$