Question 190039
I'm assuming that the expression is {{{(x+5/4)/(x^2+5x)}}}.



{{{(x+5/4)/(x^2+5x)}}} Start with the given expression



{{{(4x+cross(4)(5/cross(4)))/(4*x^2+4*5x)}}} Multiply EVERY term by the inner LCD 4 to clear out the inner fractions.



{{{(4x+5)/(4x^2+20x)}}} Multiply and simplify




So {{{(x+5/4)/(x^2+5x)}}} simplifies to {{{(4x+5)/(4x^2+20x)}}}



In short, {{{(x+5/4)/(x^2+5x)=(4x+5)/(4x^2+20x)}}} where {{{x<>-5}}} or {{{x<>0}}}