Question

A wall in Marcus's bedroom is 8 2/5 feet high and 18 1/3 feet long. If he paints 1/2 of the wall blue, how many square feet will be blue?

Answer 1

`\bf \textit{so the area of the wall is then }8(2)/(5)* 18(1)/(3) \\\\\\ \textit{how much is }(1)/(2)\textit{ of that product?}\quad \cfrac{8(2)/(5)* 18(1)/(3)}{2}\\\\ -------------------------------\\\\`


`\bf \begin{cases} 8(2)/(5)\implies \cfrac{8\cdot 5+2}{5}\implies &\cfrac{42}{5}\\\\ 18(1)/(3)\implies \cfrac{18\cdot 3+1}{3}\implies &\cfrac{55}{3} \end{cases} \\\\\\ \cfrac{8(2)/(5)* 18(1)/(3)}{2}\implies \cfrac{(42)/(5)\cdot (55)/(3)}{(2)/(1)}\implies \cfrac{(42\cdot 55)/(5\cdot 3)}{(2)/(1)}\implies \cfrac{42\cdot 55}{5\cdot 3}\cdot \cfrac{1}{2}\implies \cfrac{42\cdot 55\cdot 1}{5\cdot 3\cdot 2} \\\\\\ \cfrac{2310}{30}\implies 77`