Question 56790
{{{(x-4)/((x/4-4/x))}}}  Multiply the numerator and denominator by the LCD of the whole complex fraction, 4x.
{{{4x(x-4)/(4x(x/4-4/x))}}}
{{{4x(x-4)/(4x^2/4-16x/x)}}}
{{{4x(x-4)/(x^2-16)}}} Factor the bottom:
{{{4x(x-4)/((x+4)(x-4))}}} Cancel the (x-4)'s
{{{4x*cross((x-4))/((x+4)*cross((x-4)))}}}
{{{highlight(4x/(x+4))}}}
Happy Calculating!!!