The question is, Let be a positive integer and let be the subset of all rational numbers of the form with and any positive integer. Show that is an integral domain whose quotient field is isomorphic to the field of rational numbers.
So I have already shown that is an integral domain.
I am having issues proving that its quotient field is isomorphic to the field of rational numbers. I don't really even know where to start.
Any hints would be nice. I don't want a full proof I would like to do my own work. Just a little push in the right direction would be great.