Question

A scale model of a van is 4 1/2 feet long. The actual van is 22 2/5 feet long. What is the ratio of the length of the model to the actual length of the van in simplest form

Answer 1

same as you saw before, and again, we'll change the mixed ones to improper firstly.

$\bf \stackrel{mixed}{4\frac{1}{2}}\implies \cfrac{4\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{9}{2}}~\hfill \stackrel{mixed}{22\frac{2}{5}}\implies \cfrac{22\cdot 5+2}{5}\implies \stackrel{improper}{\cfrac{112}{5}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{model}{actual}\qquad \qquad \cfrac{~~\frac{9}{2}~~}{\frac{112}{5}}\implies \cfrac{9}{2}\cdot \cfrac{5}{112}\implies \cfrac{45}{224}$