Flash forward to several years later. Do you really think I care if I paid 1/16th too much for my AOL shares? They are up in excess of 500% and I couldn't care less about the fractions when I bought my shares. The same is true for some stocks I bought that lost money. If I sold a stock at a 50% loss, did it really matter at what price I bought the stock? If I bought 100 shares at 1/16th higher than the next guy, it cost me a whopping $6.25 extra. Did this really matter when my value was cut in half? Heck no!
The lesson here is a simple one. Buy stocks in great companies that you intend to hold forever. The actual price at purchase (and especially the fractions) are almost irrelevant.