Question

While exercising Ricardo walked 1/8 of a mile in 1/9 of an hour. At this rate, how far will he have travelled after an hour?

Answer 1

$\bf \begin{array}{ccll} miles&hours\\ \cline{1-2}\\ \frac{1}{8}&\frac{1}{9}\\\\ x&1 \end{array}\implies \cfrac{~~\frac{1}{8}~~}{x}=\cfrac{~~\frac{1}{9}~~}{1}\implies \cfrac{~~\frac{1}{8}~~}{\frac{x}{1}}=\cfrac{1}{9}\implies \cfrac{1}{8x}=\cfrac{1}{9} \\\\\\ 9=8x\implies \cfrac{9}{8}=x\implies 1\frac{1}{8}=x$