The problem is not fractional ownership, the problem is that the latest price is simply the last sold price no matter how small the fraction. Which is not true.
If a Pizza costs R80 and I slice it in 8, then proceed to sell 8 pieces, first ones at R12 each, people just want a slice and not prepared to buy the whole pizza, then some more at R8 since the got cold but cold pizza is still ok, but the last one I was planning to eat myself but my colleague offer me @R20 for it, he forgot lunch.
The exchanges would price a pizza now at R160 (R20 * 8 slices), and everyone should be paying R160 for a pizza.
Total money in my pocket = R100 (R80 base cost + R20 profit).
Tomorrow when I go to the shop, they looked at the price on the exchange and now everyone is paying R160 for a pizza.
The price should in fact be no more than R100 per pizza.
Soon we are all buying Pizza since it is the best way to preserve your money, but the price calculation is flawed.