8
Introduction
Let's start by arranging all fractions from 0 to 1 in order of lowest denominator, then lowest numerator:
1/2, 1/3, 2/3, 1/4, 3/4, 1/5, 2/5, 3/5, 4/5, 1/6, 5/6, 1/7...
Note that duplicates aren't counted, so I haven't listed 2/4, 2/6, 3/6, or 4/6, since they already appeared in th...