Least common denominator of the numbers in the list $\frac{15}{7},\frac{16}{9}$ is $63$. Convert numbers in the list to fractions with denominator $63$.
$$\frac{135}{63},\frac{112}{63}$$
To sort the list, start from a single element $\frac{135}{63}$.
$$\frac{135}{63}$$
Insert $\frac{112}{63}$ to the appropriate location in the new list.
$$\frac{112}{63},\frac{135}{63}$$
Replace the obtained fractions with the initial values.
