Question 57367
If I misinterpretted your problem, let me know and I'll edit it.
{{{((1/x)-(1/(x+1)))/(1/(x+1))}}}  The LCD for the top and the bottom is x*(x+1).  Multiply the top and bottom by x(x+1)/1.  The /1 helps keep things lined up. it's not essential.
{{{(x(x+1)/1)*(1/x-1/(x+1))/((x(x+1)/1)*(1/(x+1)))}}}
{{{(x(x+1)/x-x(x+1)/(x+1))/((x(x+1)/(x+1)))}}}
{{{(cross(x)(x+1)/cross(x)-x*cross((x+1))/cross((x+1)))/(x*cross((x+1))/cross((x+1)))}}}
{{{((x+1)-x)/x}}}
{{{(x+1-x)/x}}}
{{{highlight(1/x)}}}
Happy Calculating!!!