Answer :
[tex]\bf \cfrac{289}{25}~~\begin{cases}289=&17\cdot 17\\25=&5\cdot 5\end{cases}\implies \cfrac{17\cdot 17}{5\cdot 5}~~\stackrel{\textit{nothing to cancel}}{\implies }~~\cfrac{289}{25}[/tex]
[tex]\bf \cfrac{289}{25}~~\begin{cases}289=&17\cdot 17\\25=&5\cdot 5\end{cases}\implies \cfrac{17\cdot 17}{5\cdot 5}~~\stackrel{\textit{nothing to cancel}}{\implies }~~\cfrac{289}{25}[/tex]