Question

What is the quotient of 1 1/3 and 5/6

Answer 1

`\bf \cfrac{1(1)/(3)}{(5)/(6)}\implies \cfrac{(1\cdot 3+1)/(3)}{(5)/(6)}\implies \cfrac{(4)/(3)}{(5)/(6)}\\\\ -----------------------------\\\\ recall\implies \cfrac{(a)/(b)}{\frac{c}{{{ d}}}}\implies \cfrac{a}{b}\cdot \cfrac{{{ d}}}{c}\qquad thus\\\\ -----------------------------\\\\ \cfrac{4}{3}\cdot \cfrac{6}{5}\implies \cfrac{4\cdot 6}{3\cdot 5}\implies \cfrac{24}{15}\implies \cfrac{8}{5}`