Question 77754
Note: For future reference, a "complex" fraction doesn't make it a complex number. A complex number deals with numbers that contain imaginary units.


{{{((w+3)/(4w))/((w-3)/(2w))}}} Start with the given expression

{{{((w+3)/(4w))*((2w)/(w-3))}}}When you divide 2 fractions, you multiply the 1st fraction by the reciprocal of the 2nd fraction


{{{((w+3)/cross(4w))*(cross(2w)/(w-3))}}} Notice the terms 2w and 4w cancel to {{{1/2}}}


{{{((w+3)/(2))*(1/(w-3))}}}


{{{(w+3)/((2)(w-3))}}} Now multiply. 


{{{(w+3)/((2w-6))}}}Distribute. This is your simplified answer