The given algebraic fraction is
[tex]\frac{3x^2+6x}{2x}[/tex]We need to find the greatest common factor of the numerator
Since the common factor of 3 and 6 is 3
Since the common factor of x and x^2 is x
Then the greatest common factor is 3x
[tex]\frac{3x(x+2)}{2x}[/tex]The greatest common factor of the numerator is 3x
