Multiply $\frac{5}{9}$ times $\frac{7}{6}$ by multiplying numerator times numerator and denominator times denominator.
$$sort(\frac{3}{4},\frac{5\times 7}{9\times 6})$$
Do the multiplications in the fraction $\frac{5\times 7}{9\times 6}$.
$$sort(\frac{3}{4},\frac{35}{54})$$
Least common denominator of the numbers in the list $\frac{3}{4},\frac{35}{54}$ is $108$. Convert numbers in the list to fractions with denominator $108$.
$$\frac{81}{108},\frac{70}{108}$$
To sort the list, start from a single element $\frac{81}{108}$.
$$\frac{81}{108}$$
Insert $\frac{70}{108}$ to the appropriate location in the new list.
$$\frac{70}{108},\frac{81}{108}$$
Replace the obtained fractions with the initial values.
