[tex]\bf \stackrel{dividend}{\cfrac{9}{11}}\div \stackrel{divisor}{\cfrac{13}{33}}\implies \cfrac{9}{11}\cdot \cfrac{33}{13}\implies \cfrac{33}{11}\cdot \cfrac{9}{13}\implies \cfrac{3}{1}\cdot \cfrac{9}{13}\implies \boxed{\cfrac{27}{13}}\\\\
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\stackrel{divisor}{\cfrac{13}{33}}\cdot \boxed{\cfrac{27}{13}}\implies \cfrac{27}{33}\implies \cfrac{3\cdot 9}{3\cdot 11}\implies \cfrac{9}{11}[/tex]
