The following real number is expressed in decimal form: $0.05005000500005 \ldots$. Determine whether it is rational or irrational. If it is rational,express it in the form of $\frac{p}{q}$.

(N/A) number is rational if its decimal expansion is either terminating or non-terminating repeating.
In the given decimal expansion $0.05005000500005 \ldots$,the pattern of digits does not repeat,and it does not terminate.
Since the decimal expansion is non-terminating and non-repeating,the number is irrational.
Therefore,it cannot be expressed in the form of $\frac{p}{q}$ where $p$ and $q$ are integers and $q \neq 0$.