Expand $\frac{48.86}{0.08}$ by multiplying both numerator and the denominator by $100$.
$$sort(\frac{4886}{8},\frac{0.28}{0.4})$$
Reduce the fraction $\frac{4886}{8}$ to lowest terms by extracting and canceling out $2$.
$$sort(\frac{2443}{4},\frac{0.28}{0.4})$$
Expand $\frac{0.28}{0.4}$ by multiplying both numerator and the denominator by $100$.
$$sort(\frac{2443}{4},\frac{28}{40})$$
Reduce the fraction $\frac{28}{40}$ to lowest terms by extracting and canceling out $4$.
$$sort(\frac{2443}{4},\frac{7}{10})$$
Least common denominator of the numbers in the list $\frac{2443}{4},\frac{7}{10}$ is $20$. Convert numbers in the list to fractions with denominator $20$.
$$\frac{12215}{20},\frac{14}{20}$$
To sort the list, start from a single element $\frac{12215}{20}$.
$$\frac{12215}{20}$$
Insert $\frac{14}{20}$ to the appropriate location in the new list.
$$\frac{14}{20},\frac{12215}{20}$$
Replace the obtained fractions with the initial values.