解:3Y/2X+2Y + 2XY/X^2+XY =3XY/(2X^2+2XY)+4XY/(2X^2+2XY)=3XY+4XY/(2X^2+2XY)=7XY/(2X^2+2XY)3Y/2(X+Y) + 2Y/X(X+Y)=3Y*X/2X(x+y)+2y*2/2X(X+Y)=3XY+4Y/2X(X+Y)=Y(3X+4)/2X(X+Y) 公分母都为2X^2+2XY
3y2(x+y)+2yx(x+y)=3yx2(x+y)x+2y×2x(x+y) ×2=3yx+4y2x(x+y)