Question

Evaluate (33) / ( 33 1/3)

Answer 1

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


`\bf \stackrel{mixed}{33(1)/(3)}\implies \cfrac{33\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{100}{3}}\\\\ -------------------------------\\\\ \cfrac{33}{33(1)/(3)}\implies \cfrac{33}{\quad (100)/(3)\quad }\implies \cfrac{(33)/(1)}{\quad (100)/(3)\quad }\implies \cfrac{33}{1}\cdot \cfrac{3}{100}\implies \cfrac{99}{100}`