Question 163902
{{{(1/9+1/3x)/(x/9-1/x)}}}

multiply numerator and denominator by 9x

{{{9x(1/9+1/3x)/9x(x/9-1/x)}}}

simplify each part:

={{{(x+3)/(x^2-9)}}}

= {{{(x+3)/((x+3)(x-3))}}}

={{{1/(x-3)}}}