the easiest way to divide fractions is to know the method of KCF: keep it, change it, flip it! let me show you:
5/9 ÷ 10/11
so, respectively you would keep 5/9 the same, change the division symbol to a multiplication symbol, and flip 10/11 so it is reversed, giving you
5/9 x 11/10
then, you just multiply the numerators and the denominators
5/9 x 11/10 = 55/90
then, reduce your fraction: 55/90 = 11/18
and that's your final answer! i hope this helps you out!
