Question

Lindsay drove for 5 1 /2 hours at 60 miles per hour. How much distance did she travel?

Answer 1

let's firstly convert the mixed fraction to improper, and then check.

`\bf \stackrel{mixed}{5(1)/(2)}\implies \cfrac{5\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{11}{2}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{array}{ccll} miles&hours\\ \cline{1-2} 60&1\\[0.8em] m&(11)/(2) \end{array}\implies \cfrac{60}{m}=\cfrac{~~1~~}{(11)/(2)}\implies \cfrac{60}{m}=\cfrac{~~(1)/(1)~~}{(11)/(2)}\implies \cfrac{60}{m}=\cfrac{1}{1}\cdot \cfrac{2}{11} \\\\\\ \cfrac{60}{m}=\cfrac{2}{11}\implies 660=2m\implies \cfrac{660}{2}=m\implies 330=m`