Solve \(x = \frac{1}{1 + \frac{1}{x}}\)
So for this question you can just cross multiply!
\((1+\frac{1}{x}) \cdot x=1\)
\(x+1=1\)
\(x=0\)
but, this isn't possible since 0 cannot be a denominator, which means that there is no solution.
+738 
