The last fraction should be $\frac{85}{89}$, so the answer is $\frac5{89}.$ 
Joe writes an expression $\frac59\times\frac9{13}\times\frac{13}{17}\cdots $ Following the pattern, he writes the expression with $\frac{45}{49}$ as the multiplier in the middle. What is the result of the expression? 
Options:
1. $\frac5{49}$ 
2. $\frac5{89}$ 
3. $\frac5{17}$ 
4. $\frac1{31}$ 
5. $\frac5{81}$ 