Question

A baker has 10 cups of sugar to make cookies. Each batch calls for 1 1/3 cups of sugar.

Answer 1

$\bf \textit{he can make }10\div 1\frac{1}{3}\qquad or\qquad \cfrac{10}{1\frac{1}{3}} \\\\\\ 1\frac{1}{3}\implies \cfrac{1\cdot 3+1}{3}\implies \cfrac{4}{3}\\\\ -----------------------------\\\\ \cfrac{\frac{a}{b}}{\frac{c}{{{ d}}}}\implies \cfrac{a}{b}\cdot \cfrac{{{ d}}}{c}\qquad thus\\\\ -----------------------------$

$\bf \cfrac{10}{\frac{4}{3}}\implies \cfrac{\frac{10}{1}}{\frac{4}{3}}\implies \cfrac{10}{1}\cdot \cfrac{3}{4}\implies \cfrac{30}{4}\implies \cfrac{15}{2}\implies \boxed{7\frac{1}{2}} \\\\\\ because\implies \cfrac{7\cdot 2+1}{2}\implies \cfrac{15}{2}$