Question 68861
<pre><font size = 5><b>I don't know how to work this problem. Help 

{{{(1 + 1/x)/(1-1/x)}}}

Put the 1's over 1:

{{{(1/1 + 1/x)/(1/1-1/x)}}}

The LCD of all four denominators is x.
So multiply top and bottom by {{{x/1}}}

{{{(x/1)/(x/1)}}}·{{{((1/1 + 1/x))/((1/1-1/x))}}}

Indicate the multiplication of the numerators
and denominators

{{{((x/1)(1/1 + 1/x))/((x/1)(1/1-1/x))}}}

Use the distributive principle:

{{{((x/1)(1/1) + (x/1)(1/x))/((x/1)(1/1)-(x/1)(1/x))}}}

Simplify:

{{{(x+1)/(x-1)}}}

Edwin</pre>