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The question:

4 = $\frac{a}{b+c} + \frac{b}{a+c} + \frac{c}{a+b}$

Where I have to find the minimum values for a, b and c and they have to be positive and whole?

I'm slightly confused by all the requests so it's a little tough to figure out the quirks. A step in the right direction would be great.

Mat Stornel
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    What are trying to minimize? Is it $a + b + c$? – Alex Vong Nov 28 '18 at 04:42
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    Follow the following link:. https://www.google.co.in/url?sa=t&source=web&rct=j&url=http://ami.ektf.hu/uploads/papers/finalpdf/AMI_43_from29to41.pdf&ved=2ahUKEwiBo9blqfbeAhUHMo8KHcwnCz0QFjAAegQIBxAB&usg=AOvVaw0emp3ire4VvHNgzTt1_d9o – Rabi Kumar Chakraborty Nov 28 '18 at 05:13
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    According to this MO post, the smallest positive solution is $$\small\begin{align} a &= 4373612677928697257861252602371390152816537558161613618621437993378423467772036;\ b &= 36875131794129999827197811565225474825492979968971970996283137471637224634055579;\ c &= 154476802108746166441951315019919837485664325669565431700026634898253202035277999; \end{align}$$ This is definitely not a algebra-precalculus/contest problem. – achille hui Nov 28 '18 at 09:56
  • Oh lol, so I've been bamboozled. Thanks for the answers though, it's interesting reading. – Mat Stornel Nov 28 '18 at 15:03
  • Previously discussed here at https://math.stackexchange.com/questions/402537/find-integer-in-the-form-fracabc-fracbca-fraccab – Gerry Myerson Jan 29 '23 at 22:34

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