Field of fractions of $R[X]$ Let $R$ be a domain and let $Q$ be its field of fractions. Show that the field of fractions of $R[X]$ is isomorphic to $Q(X)$. 
By the way, I don't know exactly what $Q(X)$ is. It means $Q[X]$? Or $Q$ times the ideal generated by $X$ in $R[X]$?

$Q(X)$ denotes the field of fractions of $Q[X]$, which is the smallest field generated by adjoining $X$ to $Q$. Essentially, you are being asked to prove that taking the field of fractions commutes with adjoining an indeterminant.
