Although I suppose I could think longer about it, I am doubtful that this Egyptian could work with all whole number divisors, unless there are additional techniques that could be added. I tried exploring with 1/3 and 15 divided by 7, and it didn't seem to work out for me. I'm looking forward to class tomorrow to see if I'm missing something. I also don't think it would work out for all even number divisors, because if you take 6 and divide it by 2, it becomes 3 pretty quickly and I believe that the same problem happens.
Here's some of my math thinking regarding this topic:
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