I used to think like you. The answer is 1. Caper_26 can explain it well. I hope he just starts a thread and gives the several proofs.

The main issue here, is that working from left to right is not part of the order of operations. Problems do not have to be worked left to right, because it shouldn't matter.

And given that the obelus is really a grouping symbol, creating a dividend and a divisor. You always work a dividend and a divisor separately. And you can prove that with the identity property a/1a=1