Solve 4/10,-25/10,-3/10,6/10

$$\frac { 4 } { 10 } , - \frac { 25 } { 10 } , - \frac { 3 } { 10 } , \frac { 6 } { 10 }$$

Sort

$$-\frac{5}{2},-\frac{3}{10},\frac{2}{5},\frac{3}{5}$$

Solution Steps

Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.

$$sort(\frac{2}{5},-\frac{25}{10},-\frac{3}{10},\frac{6}{10})$$

Reduce the fraction \frac{25}{10} to lowest terms by extracting and canceling out 5.

$$sort(\frac{2}{5},-\frac{5}{2},-\frac{3}{10},\frac{6}{10})$$

Reduce the fraction \frac{6}{10} to lowest terms by extracting and canceling out 2.

$$sort(\frac{2}{5},-\frac{5}{2},-\frac{3}{10},\frac{3}{5})$$

Least common denominator of the numbers in the list \frac{2}{5},-\frac{5}{2},-\frac{3}{10},\frac{3}{5} is 10. Convert numbers in the list to fractions with denominator 10.

$$\frac{4}{10},-\frac{25}{10},-\frac{3}{10},\frac{6}{10}$$

To sort the list, start from a single element \frac{4}{10}.

$$\frac{4}{10}$$

Insert -\frac{25}{10} to the appropriate location in the new list.

$$-\frac{25}{10},\frac{4}{10}$$

Insert -\frac{3}{10} to the appropriate location in the new list.

$$-\frac{25}{10},-\frac{3}{10},\frac{4}{10}$$

Insert \frac{6}{10} to the appropriate location in the new list.

$$-\frac{25}{10},-\frac{3}{10},\frac{4}{10},\frac{6}{10}$$

Replace the obtained fractions with the initial values.

$$-\frac{5}{2},-\frac{3}{10},\frac{2}{5},\frac{3}{5}$$

Evaluate

$$\frac{2}{5},-\frac{5}{2},-\frac{3}{10},\frac{3}{5}$$