Solve 1/2,-3/4,-1,5,3/5,0,75

$$\frac { 1 } { 2 } , - \frac { 3 } { 4 } , - 1,5 , \frac { 3 } { 5 } , 0,75$$

Sort

$$-1,-\frac{3}{4},0,\frac{1}{2},\frac{3}{5},5,75$$

Solution Steps

Convert decimal numbers in the list \frac{1}{2},-\frac{3}{4},-1,5,\frac{3}{5},0,75 to fractions.

$$\frac{1}{2},-\frac{3}{4},-1,5,\frac{3}{5},0,75$$

Least common denominator of the numbers in the list \frac{1}{2},-\frac{3}{4},-1,5,\frac{3}{5},0,75 is 20. Convert numbers in the list to fractions with denominator 20.

$$\frac{10}{20},-\frac{15}{20},-\frac{20}{20},\frac{100}{20},\frac{12}{20},0,\frac{1500}{20}$$

To sort the list, start from a single element \frac{10}{20}.

$$\frac{10}{20}$$

Insert -\frac{15}{20} to the appropriate location in the new list.

$$-\frac{15}{20},\frac{10}{20}$$

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

$$-\frac{20}{20},-\frac{15}{20},\frac{10}{20}$$

Insert \frac{100}{20} to the appropriate location in the new list.

$$-\frac{20}{20},-\frac{15}{20},\frac{10}{20},\frac{100}{20}$$

Insert \frac{12}{20} to the appropriate location in the new list.

$$-\frac{20}{20},-\frac{15}{20},\frac{10}{20},\frac{12}{20},\frac{100}{20}$$

Insert 0 to the appropriate location in the new list.

$$-\frac{20}{20},-\frac{15}{20},0,\frac{10}{20},\frac{12}{20},\frac{100}{20}$$

Insert \frac{1500}{20} to the appropriate location in the new list.

$$-\frac{20}{20},-\frac{15}{20},0,\frac{10}{20},\frac{12}{20},\frac{100}{20},\frac{1500}{20}$$

Replace the obtained fractions with the initial values.

$$-1,-\frac{3}{4},0,\frac{1}{2},\frac{3}{5},5,75$$

Evaluate

$$\frac{1}{2},-\frac{3}{4},-1,5,\frac{3}{5},0,75$$