Least common denominator of the numbers in the list $\frac{3}{8},\frac{9}{16},\frac{5}{12}$ is $48$. Convert numbers in the list to fractions with denominator $48$.
$$\frac{18}{48},\frac{27}{48},\frac{20}{48}$$
To sort the list, start from a single element $\frac{18}{48}$.
$$\frac{18}{48}$$
Insert $\frac{27}{48}$ to the appropriate location in the new list.
$$\frac{18}{48},\frac{27}{48}$$
Insert $\frac{20}{48}$ to the appropriate location in the new list.
$$\frac{18}{48},\frac{20}{48},\frac{27}{48}$$
Replace the obtained fractions with the initial values.