# An algebra problem by Rahil Sehgal

Algebra Level 3

If $$a$$, $$b$$, and $$c$$ are positive real numbers such that

$\frac a{1+a} + \frac b{1+b} + \frac c{1+c} = 1$

then find the maximum value of $$abc$$. Give your answer to 3 decimal places.

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