Solve {l}{1/2}{1/8}{1/4}{1/3}{1}

$$\left. \begin{array} { l } { \frac { 1 } { 2 } } \\ { \frac { 1 } { 8 } } \\ { \frac { 1 } { 4 } } \\ { \frac { 1 } { 3 } } \\ { 1 } \end{array} \right.$$

Sort

$$\frac{1}{8},\frac{1}{4},\frac{1}{3},\frac{1}{2},1$$

Solution Steps

Convert decimal numbers in the list \frac{1}{2},\frac{1}{8},\frac{1}{4},\frac{1}{3},1 to fractions.

$$\frac{1}{2},\frac{1}{8},\frac{1}{4},\frac{1}{3},1$$

Least common denominator of the numbers in the list \frac{1}{2},\frac{1}{8},\frac{1}{4},\frac{1}{3},1 is 24. Convert numbers in the list to fractions with denominator 24.

$$\frac{12}{24},\frac{3}{24},\frac{6}{24},\frac{8}{24},\frac{24}{24}$$

To sort the list, start from a single element \frac{12}{24}.

$$\frac{12}{24}$$

Insert \frac{3}{24} to the appropriate location in the new list.

$$\frac{3}{24},\frac{12}{24}$$

Insert \frac{6}{24} to the appropriate location in the new list.

$$\frac{3}{24},\frac{6}{24},\frac{12}{24}$$

Insert \frac{8}{24} to the appropriate location in the new list.

$$\frac{3}{24},\frac{6}{24},\frac{8}{24},\frac{12}{24}$$

Insert \frac{24}{24} to the appropriate location in the new list.

$$\frac{3}{24},\frac{6}{24},\frac{8}{24},\frac{12}{24},\frac{24}{24}$$

Replace the obtained fractions with the initial values.

$$\frac{1}{8},\frac{1}{4},\frac{1}{3},\frac{1}{2},1$$

Evaluate

$$\frac{1}{2},\ \frac{1}{8},\ \frac{1}{4},\ \frac{1}{3},\ 1$$