Question 1095581
<br>The given expression is
{{{(2/x^2+1/x)/(x+27/x^2)}}}<br>
While there are many ways you could go about simplifying this, for me by far the easiest way is to multiply numerator and denominator by x^2, which is the LCM of all the denominators of the individual fractions.
{{{(2 + x)/(x^3 + 27)}}}<br>
The denominator is factorable; but factoring it won't allow you to simplify the expression further; so this is simplest form.