Reduce the fraction $\frac{22}{112}$ to lowest terms by extracting and canceling out $2$.
$$sort(\frac{118}{109},\frac{11}{56})$$
Least common denominator of the numbers in the list $\frac{118}{109},\frac{11}{56}$ is $6104$. Convert numbers in the list to fractions with denominator $6104$.
$$\frac{6608}{6104},\frac{1199}{6104}$$
To sort the list, start from a single element $\frac{6608}{6104}$.
$$\frac{6608}{6104}$$
Insert $\frac{1199}{6104}$ to the appropriate location in the new list.
$$\frac{1199}{6104},\frac{6608}{6104}$$
Replace the obtained fractions with the initial values.