Least common denominator of the numbers in the list $\frac{32}{5},\frac{53}{10},\frac{1617}{50}$ is $50$. Convert numbers in the list to fractions with denominator $50$.
$$\frac{320}{50},\frac{265}{50},\frac{1617}{50}$$
To sort the list, start from a single element $\frac{320}{50}$.
$$\frac{320}{50}$$
Insert $\frac{265}{50}$ to the appropriate location in the new list.
$$\frac{265}{50},\frac{320}{50}$$
Insert $\frac{1617}{50}$ to the appropriate location in the new list.
$$\frac{265}{50},\frac{320}{50},\frac{1617}{50}$$
Replace the obtained fractions with the initial values.
