let's firstly convert the mixed fraction to improper, and then check.
[tex]\bf \stackrel{mixed}{5\frac{1}{2}}\implies \cfrac{5\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{11}{2}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{array}{ccll} miles&hours\\ \cline{1-2} 60&1\\[0.8em] m&\frac{11}{2} \end{array}\implies \cfrac{60}{m}=\cfrac{~~1~~}{\frac{11}{2}}\implies \cfrac{60}{m}=\cfrac{~~\frac{1}{1}~~}{\frac{11}{2}}\implies \cfrac{60}{m}=\cfrac{1}{1}\cdot \cfrac{2}{11} \\\\\\ \cfrac{60}{m}=\cfrac{2}{11}\implies 660=2m\implies \cfrac{660}{2}=m\implies 330=m[/tex]
