Question

What is the quotient of three and two thirds divided by 3 fourths

Answer 1

let's firstly convert the mixed fraction to an improper fraction.

`\stackrel{mixed}{3(2)/(3)}\implies \cfrac{3\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{11}{3}} \\\\[-0.35em] ~\dotfill\\\\ 3(2)/(3)/ \cfrac{3}{4}\implies \cfrac{11}{3}/ \cfrac{3}{4}\implies \cfrac{11}{3}\cdot \cfrac{4}{3}\implies \cfrac{44}{9}\implies 4(8)/(9)`