Question

Brian irons 2/9 of his shirt in 3 3/5 minutes. how much of his shirt does he iron each minute

Answer 1

`\bf \begin{array}{ccll} shirt&minutes\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ (2)/(9)&3(3)/(5)\\\\ s&1 \end{array}\implies \cfrac{(2)/(9)}{s}=\cfrac{3(3)/(5)}{1}\implies \cfrac{(2)/(9)}{(s)/(1)}=\cfrac{(3\cdot 5+3)/(5)}{(1)/(1)}\implies \cfrac{2}{9}\cdot \cfrac{1}{s}=\cfrac{(18)/(5)}{(1)/(1)} \\\\\\ \cfrac{2}{9s}=\cfrac{18}{5}\implies 10=162s\implies \cfrac{10}{162}=s\implies \cfrac{5}{81}=s`