# An Alternative Proof for an Inequality with Cyclic Fractions

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## Keywords:

AM-GM Inequality, Cyclic Fractions, Alternate proof## Abstract

It is known that $\displaystyle \frac{a}{b}+\frac{b}{c}+\frac{c}{a}\geq\frac{a+b}{b+c}+\frac{b+c}{c+a}+\frac{c+a}{a+b}$ for any positive $a, b, c$. In this paper we provide an alternative proof for this inequality, and generalize it to an $n$-variable version.

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*International Journal of Mathematics And Its Applications*,

*9*(4), 119–120. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/35

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This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.