Solve 1,-1/2,1/3,-1/4,1/5

$$1 , - \frac { 1 } { 2 } , \frac { 1 } { 3 } , - \frac { 1 } { 4 } , \frac { 1 } { 5 }$$

Sort

$$-\frac{1}{2},-\frac{1}{4},\frac{1}{5},\frac{1}{3},1$$

Solution Steps

Convert decimal numbers in the list 1,-\frac{1}{2},\frac{1}{3},-\frac{1}{4},\frac{1}{5} to fractions.

$$1,-\frac{1}{2},\frac{1}{3},-\frac{1}{4},\frac{1}{5}$$

Least common denominator of the numbers in the list 1,-\frac{1}{2},\frac{1}{3},-\frac{1}{4},\frac{1}{5} is 60. Convert numbers in the list to fractions with denominator 60.

$$\frac{60}{60},-\frac{30}{60},\frac{20}{60},-\frac{15}{60},\frac{12}{60}$$

To sort the list, start from a single element \frac{60}{60}.

$$\frac{60}{60}$$

Insert -\frac{30}{60} to the appropriate location in the new list.

$$-\frac{30}{60},\frac{60}{60}$$

Insert \frac{20}{60} to the appropriate location in the new list.

$$-\frac{30}{60},\frac{20}{60},\frac{60}{60}$$

Insert -\frac{15}{60} to the appropriate location in the new list.

$$-\frac{30}{60},-\frac{15}{60},\frac{20}{60},\frac{60}{60}$$

Insert \frac{12}{60} to the appropriate location in the new list.

$$-\frac{30}{60},-\frac{15}{60},\frac{12}{60},\frac{20}{60},\frac{60}{60}$$

Replace the obtained fractions with the initial values.

$$-\frac{1}{2},-\frac{1}{4},\frac{1}{5},\frac{1}{3},1$$

Evaluate

$$1,-\frac{1}{2},\frac{1}{3},-\frac{1}{4},\frac{1}{5}$$