A 14-mile route is divided into 6 equal parts for a relay race. What fraction of a mile is the length of each part of the race?

To find the fraction of a mile that each part of the race is, we divide the total length of the race by the number of parts it is divided into. Let's call the length of each part of the race "x" miles.

We know that the total length of the race is 14 miles, and it is divided into 6 equal parts.

Therefore, we can set up the equation:

x = 14/6

Simplifying the equation:

x = 7/3 miles

Thus, each part of the race is 7/3 miles long.