Question

How do you simplify this?

Answer 1

$\frac{ \frac{x + 1}{x} \times \frac{x}{1} }{ \frac{x}{x + 1} + \frac{1}{x} } = \frac{ \frac{x + 1}{x} \times \frac{x}{1} }{ \frac{x}{x + 1} + \frac{1}{x} } \times \frac{ \frac{x}{x + 1} - \frac{1}{x} }{ \frac{x}{x + 1} - \frac{1}{x} }$
Than

$\frac{ \frac{x + 1}{x} \times \frac{x}{1} ( \frac{x}{x + 1} - \frac{1}{x} )}{ (\frac{x}{x + 1} + \frac{1}{x})( \frac{x}{x + 1} - \frac{1}{x} ) }$
and I guess you should be able to continue?