Solve {l}{8}{5/2}{7/3}

$$\left. \begin{array} { l } { 8 } \\ { \frac { 5 } { 2 } } \\ { \frac { 7 } { 3 } } \end{array} \right.$$

Sort

$$\frac{7}{3},\frac{5}{2},8$$

Solution Steps

Convert decimal numbers in the list 8,\frac{5}{2},\frac{7}{3} to fractions.

$$8,\frac{5}{2},\frac{7}{3}$$

Least common denominator of the numbers in the list 8,\frac{5}{2},\frac{7}{3} is 6. Convert numbers in the list to fractions with denominator 6.

$$\frac{48}{6},\frac{15}{6},\frac{14}{6}$$

To sort the list, start from a single element \frac{48}{6}.

$$\frac{48}{6}$$

Insert \frac{15}{6} to the appropriate location in the new list.

$$\frac{15}{6},\frac{48}{6}$$

Insert \frac{14}{6} to the appropriate location in the new list.

$$\frac{14}{6},\frac{15}{6},\frac{48}{6}$$

Replace the obtained fractions with the initial values.

$$\frac{7}{3},\frac{5}{2},8$$

Evaluate

$$8,\ \frac{5}{2},\ \frac{7}{3}$$