6 In $\triangle A B C$, $A B=B C=2, A C=3$. Let $O$ be the incenter of $\triangle A B C$, if $\overrightarrow{A O}=p \overrightarrow{A B}+q \overrightarrow{A C}$, then the value of $\frac{p}{q}$ is $\qquad$.
(6) $\frac{3}{2}$