Question

Evaluate (33) / ( 33 1/3)

Answer 1

We'll first convert the mixed fraction to "improper", and then divide.

$\bf \stackrel{mixed}{33\frac{1}{3}}\implies \cfrac{33\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{100}{3}}\\\\ -------------------------------\\\\ \cfrac{33}{33\frac{1}{3}}\implies \cfrac{33}{\quad \frac{100}{3}\quad }\implies \cfrac{\frac{33}{1}}{\quad \frac{100}{3}\quad }\implies \cfrac{33}{1}\cdot \cfrac{3}{100}\implies \cfrac{99}{100}$