Reduce the fraction $\frac{5736}{9}$ to lowest terms by extracting and canceling out $3$.
$$sort(\frac{1912}{3},\frac{1834}{43})$$
Least common denominator of the numbers in the list $\frac{1912}{3},\frac{1834}{43}$ is $129$. Convert numbers in the list to fractions with denominator $129$.
$$\frac{82216}{129},\frac{5502}{129}$$
To sort the list, start from a single element $\frac{82216}{129}$.
$$\frac{82216}{129}$$
Insert $\frac{5502}{129}$ to the appropriate location in the new list.
$$\frac{5502}{129},\frac{82216}{129}$$
Replace the obtained fractions with the initial values.