Divide $\frac{14}{28}$ by $\frac{13}{19}$ by multiplying $\frac{14}{28}$ by the reciprocal of $\frac{13}{19}$.
$$sort(10.05,\frac{14\times 19}{28\times 13})$$
Cancel out $14$ in both numerator and denominator.
$$sort(10.05,\frac{19}{2\times 13})$$
Multiply $2$ and $13$ to get $26$.
$$sort(10.05,\frac{19}{26})$$
Convert decimal numbers in the list $10.05,\frac{19}{26}$ to fractions.
$$\frac{201}{20},\frac{19}{26}$$
Least common denominator of the numbers in the list $\frac{201}{20},\frac{19}{26}$ is $260$. Convert numbers in the list to fractions with denominator $260$.
$$\frac{2613}{260},\frac{190}{260}$$
To sort the list, start from a single element $\frac{2613}{260}$.
$$\frac{2613}{260}$$
Insert $\frac{190}{260}$ to the appropriate location in the new list.
$$\frac{190}{260},\frac{2613}{260}$$
Replace the obtained fractions with the initial values.
