So, I was at the AAA All-Star game this past week, and I noticed that a player in the game (I wish I remember who now, but it was a bit hazy and their stats are no longer the same) had an OBP lower than their batting average at the time.
Now, looking at the formula for batting average:
H/AB
As well as OBP:
(H+BB+HBP)/(AB+BB+HBP+SF)