I am reading field theory.
I dont understand the following fact:
What will be a basis of $\mathbb{R}(t)=\{\frac{f(t)}{g(t)}:f(t),g(t)\in \Bbb R[t]\}$.
I know that $\Bbb R(t)$ is a field and hence a vector space too over $\Bbb R$.
Also a basis of $\Bbb R[t]$ is $\{1,t,t^2,\ldots ,t^n,\ldots\}$
But how to find a basis of $\Bbb R(t)$?