There are 15,840 inches in a quarter mile. Since a mile is 5,280 ft, you would divide that by 4 (to get the number of feet in 1/4 mile) and then multiply that result by 12 (si…nce there are 12 inches in a foot). Mathematically, it would look like this: 5,280/4= 1,320; 1,320 x 12= 15,840.