Question

What is a real world problem that could be modeled by dividing two rational numbers

Answer 1

say, you have half a pie, and 2 sisters, if you divide the half-pie in 3 equal pieces, how much is everyone getting of the whole pie?  well, is the quotient of 1/2 and 3.

$\bf \stackrel{pie}{\cfrac{1}{2}}\div \stackrel{siblings}{3}\implies \cfrac{1}{2}\div\cfrac{3}{1}\implies \cfrac{1}{2}\cdot \cfrac{1}{3}\implies \stackrel{\textit{each one gets}}{\cfrac{1}{6}}$