Show the similarities between dividing two fractions and dividing two rational expressions using examples of each; explain your steps

Answer 1

In both cases, invert the bottom one and multiply.
1/2
---
3/5

= 1/2 * 5/3 = 5/6

a/b
-----
p/q

= a/b * q/p = (a q) / (b p)

Answer 2

Thanks Damon!