Least common denominator of the numbers in the list $\frac{1}{10},\frac{5}{6},\frac{2}{5}$ is $30$. Convert numbers in the list to fractions with denominator $30$.
$$\frac{3}{30},\frac{25}{30},\frac{12}{30}$$
To sort the list, start from a single element $\frac{3}{30}$.
$$\frac{3}{30}$$
Insert $\frac{25}{30}$ to the appropriate location in the new list.
$$\frac{3}{30},\frac{25}{30}$$
Insert $\frac{12}{30}$ to the appropriate location in the new list.
$$\frac{3}{30},\frac{12}{30},\frac{25}{30}$$
Replace the obtained fractions with the initial values.
