Answer
38 miles
Work Step by Step
Since we are given that 1 inch on a map is equal to a distance of 16 actual miles, we can find the actual distance (in miles) of 2$\frac{3}{8}$ inches on the map.
First, we need to write the mixed numeral 2$\frac{3}{8}$ as an improper fraction so that we can multiply.
2$\frac{3}{8}$ = $\frac{19}{8}$
Now we can multiply the improper fraction showing the distance on the map by 16 (the number of miles represented by 1 inch).
$\frac{19}{8}$ x $\frac{16}{1}$ = $\frac{304}{8}$
304 $\div$ 8 = 38.
Therefore, our actual distance is 38 miles.