The high-school track measures one quarter of a mile around. How many laps would you have to run in order to run three and a half miles?

Divide the total number of laps by the length of one lap. \(3\frac{{1} }{{2}} ÷ \frac{{1} }{{4}}\). First, convert the mixed number to a fraction, then divide by \(\frac{{1} }{{4}}\).
\(\frac{{7} }{{2}} ÷ \frac{{1} }{{4}} = \frac{{28} }{{2}}\), which can be reduced to 14.