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

$\bf \textit{so the area of the wall is then }8\frac{2}{5}\times 18\frac{1}{3} \\\\\\ \textit{how much is }\frac{1}{2}\textit{ of that product?}\quad \cfrac{8\frac{2}{5}\times 18\frac{1}{3}}{2}\\\\ -------------------------------$

$\bf \begin{cases} 8\frac{2}{5}\implies \cfrac{8\cdot 5+2}{5}\implies &\cfrac{42}{5}\\\\ 18\frac{1}{3}\implies \cfrac{18\cdot 3+1}{3}\implies &\cfrac{55}{3} \end{cases} \\\\\\ \cfrac{8\frac{2}{5}\times 18\frac{1}{3}}{2}\implies \cfrac{\frac{42}{5}\cdot \frac{55}{3}}{\frac{2}{1}}\implies \cfrac{\frac{42\cdot 55}{5\cdot 3}}{\frac{2}{1}}\implies \cfrac{42\cdot 55}{5\cdot 3}\cdot \cfrac{1}{2}\implies \cfrac{42\cdot 55\cdot 1}{5\cdot 3\cdot 2} \\\\\\ \cfrac{2310}{30}\implies 77$