Solve {l}{5}{1/6}{1/3}

$$\left. \begin{array} { l } { 5 } \\ { \frac { 1 } { 6 } } \\ { \frac { 1 } { 3 } } \end{array} \right.$$

Sort

$$\frac{1}{6},\frac{1}{3},5$$

Solution Steps

Convert decimal numbers in the list 5,\frac{1}{6},\frac{1}{3} to fractions.

$$5,\frac{1}{6},\frac{1}{3}$$

Least common denominator of the numbers in the list 5,\frac{1}{6},\frac{1}{3} is 6. Convert numbers in the list to fractions with denominator 6.

$$\frac{30}{6},\frac{1}{6},\frac{2}{6}$$

To sort the list, start from a single element \frac{30}{6}.

$$\frac{30}{6}$$

Insert \frac{1}{6} to the appropriate location in the new list.

$$\frac{1}{6},\frac{30}{6}$$

Insert \frac{2}{6} to the appropriate location in the new list.

$$\frac{1}{6},\frac{2}{6},\frac{30}{6}$$

Replace the obtained fractions with the initial values.

$$\frac{1}{6},\frac{1}{3},5$$

Evaluate

$$5,\ \frac{1}{6},\ \frac{1}{3}$$