Question 144680
You wrote: {{{3x/x + y - 2y/x}}}


Although I suspect you meant: {{{3x/(x + y) - 2y/x}}}  (Use plenty of parentheses so we don't have to guess so much next time.)


{{{3x/(x + y) - 2y/x}}} 


You have no factors in common between the two denominators, so the Lowest Common Denominator is just the product of the two denominators: {{{x(x+y)}}}


{{{(3x(x)-2y(x+y))/(x(x+y))}}}


{{{(3x^2-2xy-2y^2)/(x^2+xy)}}}