Question 169803
{{{(1+1/x) / (1-1/x)}}} Start with the given expression



{{{(x*1+cross(x)(1/cross(x))) / (x*1-cross(x)(1/cross(x)))}}} Multiply EVERY term by the inner LCD x to clear the inner denominators



{{{(x+1) / (x-1)}}} Multiply and simplify



So {{{(1+1/x) / (1-1/x)}}} simplifies to {{{(x+1) / (x-1)}}}