Solve {l}{1/12}{1/15}{1/18}{1/9}

$$\left. \begin{array} { l } { \frac { 1 } { 12 } } \\ { \frac { 1 } { 15 } } \\ { \frac { 1 } { 18 } } \\ { \frac { 1 } { 9 } } \end{array} \right.$$

Sort

$$\frac{1}{18},\frac{1}{15},\frac{1}{12},\frac{1}{9}$$

Solution Steps

Least common denominator of the numbers in the list \frac{1}{12},\frac{1}{15},\frac{1}{18},\frac{1}{9} is 180. Convert numbers in the list to fractions with denominator 180.

$$\frac{15}{180},\frac{12}{180},\frac{10}{180},\frac{20}{180}$$

To sort the list, start from a single element \frac{15}{180}.

$$\frac{15}{180}$$

Insert \frac{12}{180} to the appropriate location in the new list.

$$\frac{12}{180},\frac{15}{180}$$

Insert \frac{10}{180} to the appropriate location in the new list.

$$\frac{10}{180},\frac{12}{180},\frac{15}{180}$$

Insert \frac{20}{180} to the appropriate location in the new list.

$$\frac{10}{180},\frac{12}{180},\frac{15}{180},\frac{20}{180}$$

Replace the obtained fractions with the initial values.

$$\frac{1}{18},\frac{1}{15},\frac{1}{12},\frac{1}{9}$$

Evaluate

$$\frac{1}{12},\ \frac{1}{15},\ \frac{1}{18},\ \frac{1}{9}$$