first off, let's change the mixed fraction to "improper", and then proceed,
[tex]\bf \stackrel{mixed}{5\frac{1}{2}}\implies \cfrac{5\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{11}{2}}\\\\
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\cfrac{\quad 5\frac{1}{2} \quad }{\frac{3}{5}}\implies \cfrac{\quad \frac{11}{2}\quad }{\frac{3}{5}}\implies \cfrac{11}{2}\cdot \cfrac{5}{3}\implies \cfrac{55}{6}\implies 9\frac{1}{6}[/tex]
