No subject

integer values.  The definition of real numbers is even uglier, but it's
sufficiently broad to include both the rationals and the integers.

If you're writing a rational class, I think it's perfectly reasonable in all
cases to return a rational number, as well as to offer conversion operators
into both float and q, r representations.

I don't think it's a matter of semantics as it is a question of modeling
choice and problem decomposition.