we know that
\(1\) lap around the school track is \(5/8\) mile
so
by proportion
Find how many miles corresponds to\(3\frac{1}{2}\) laps
\(3\frac{1}{2}\ laps=\frac{3*2+1}{2} =\frac{7}{2}\ laps\)
\(\frac{(5/8)}{1} \frac{miles}{lap}= \frac{x}{(7/2)} \frac{miles}{lap}\\ \\x=\frac{5}{8}*\frac{7}{2}\\ \\ x=\frac{35}{16}\ miles\\ \\x=2\frac{3}{16}\ miles\)
therefore
the answer is
\(2\frac{3}{16}\ miles\)
