Question

Each lap around Spring Reservoir is 2 3/8 miles long. Terrence walked 2 1/2 laps around the Reservoir. How many miles did Terrence walk?

Answer 1

namely, how much is 2 and 1/2 of 2 and 3/8 then, well is just their product, let's first convert them both from mixed to "improper" and proceed.


`\bf \stackrel{mixed}{2(3)/(8)}\implies \cfrac{2\cdot 8+3}{8}\implies \stackrel{improper}{\cfrac{19}{8}} \\\\\\ \stackrel{mixed}{2(1)/(2)}\implies \cfrac{2\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{5}{2}}\\\\ -------------------------------\\\\ \stackrel{laps~done}{\cfrac{5}{2}}\cdot \stackrel{\textit{miles in a lap}}{\cfrac{19}{8}}\implies \cfrac{95}{16}\implies \stackrel{miles}{5(15)/(16)}`