[tex] \frac{ \frac{x + 1}{x} \times \frac{x}{1} }{ \frac{x}{x + 1} + \frac{1}{x} } = \frac{ \frac{x + 1}{x} \times \frac{x}{1} }{ \frac{x}{x + 1} + \frac{1}{x} } \times \frac{ \frac{x}{x + 1} - \frac{1}{x} }{ \frac{x}{x + 1} - \frac{1}{x} } [/tex]
Than
[tex]\frac{ \frac{x + 1}{x} \times \frac{x}{1} ( \frac{x}{x + 1} - \frac{1}{x} )}{ (\frac{x}{x + 1} + \frac{1}{x})( \frac{x}{x + 1} - \frac{1}{x} ) } [/tex]
and I guess you should be able to continue?