Question 250866
{{{2x/(4x+2)}}} / {{{(6x+3)/5}}}
The firs step is to factor everything you can.

{{{2x/2(2x+1)}}} / {{{3(2x+1)/5}}}

Now multiply by the reciprocal:

{{{x/(2x+1)}}} * {{{5/3(2x+1)}}}

simplify:
5x / (3*(2x+1)^2)

5x/(12X^2+12X+3)