I found this on Quora. What would the standard algorithm be, I wonder.
……………………………………………………………………………………………………
Advertisements
There may be other solutions. a = b = 3, c = 21. (Egyptian Fractions)
Filed under arithmetic, fractions, math, operations
Tagged as arithmetic, construction, fractions, heuristic
howardat58 on Parabola, it’s scarily… | |
howardat58 on Subtraction using addition | |
Bob Shepherd on Subtraction using addition | |
howardat58 on The Chain Rule and the th… | |
howardat58 on The Chain Rule and the th… |
howardat58 on Parabola, it’s scarily… | |
howardat58 on Subtraction using addition | |
Bob Shepherd on Subtraction using addition | |
howardat58 on The Chain Rule and the th… | |
howardat58 on The Chain Rule and the th… |
Your posts always get me thinking!
I have nominated you for an award, and would love for you to check it out:
https://blogcreatifa.wordpress.com/2015/03/10/liebster-award-discover-new-blogs/
I like 1/2 + 1/7 + 1/14 better since it has a larger smallest piece. Nobody wants to get a pile of crumbs.
To me the standard algorithm is the greedy one — but it can result in horrendously big denominators sometimes, and often doesn’t give a 3-fraction sum even when such a sum exists.
There are lots of unsolved problems even in such a simple situation as this! Look up Erdos-Strauss for instance.