we'll first convert the mixed fraction to "improper", and then divide.
[tex]\bf \stackrel{mixed}{33\frac{1}{3}}\implies \cfrac{33\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{100}{3}}\\\\
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\cfrac{33}{33\frac{1}{3}}\implies \cfrac{33}{\quad \frac{100}{3}\quad }\implies \cfrac{\frac{33}{1}}{\quad \frac{100}{3}\quad }\implies \cfrac{33}{1}\cdot \cfrac{3}{100}\implies \cfrac{99}{100}[/tex]
