Question

Philip went on a 3 1/2-mile hike. He hiked for 2 hours. About how far did he go in 1 hour?

Answer 1

one hour is half of 2 hours, so since he did 3½ total in 2 hours, then in 1 hour he only did half that.

Let's firstly convert the mixed fraction to improper fraction.

`\bf \stackrel{mixed}{3(1)/(2)}\implies \cfrac{3\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{7}{2}} \\\\\\ \cfrac{7}{2}/ 2\implies \cfrac{7}{2}/ \cfrac{2}{1}\implies \cfrac{7}{2}\cdot \cfrac{1}{2}\implies \cfrac{7}{4}\implies 1(3)/(4)`