Question 8
Jill places the digits 1, 2, 3, 4, 5, 6, 7 and 8 exactly once in the eight boxes to obtain the largest possible fraction. In simplest form its numerator is a and its denominator is b. Find a + b.

The fraction bars define the nesting shown: p/(q + r/(s + t/(u + v/w))). The eight letters here denote the eight boxes, not extra digits.

The fraction bars define the nesting shown: p/(q + r/(s + t/(u + v/w))). The eight letters here denote the eight boxes, not extra digits.