Interesting math fact of the day #59:
Let c/d be the smallest fraction greater than a/b with a denominator <= n. Then bc = ad + 1.
Ex:
n = 5, a/b = 1/3
c/d = 2/5
ad = 5, bc = 6
n = 1,000,000, a/b = 1/3
c/d = 333,333/999,998
ad = 999,998, bc = 999,999















