Question

x/y=2

/frac{2x+3y}{3x+2y}=?

Answer 1

x=2y

(2x+3y)/(3x+2y)=(2*2y+3y)/(3*2y+2y)=
(4y+3y)/(6y+2y)=7y/8y=7/8

Answer 2

$\frac{2x + 3y}{3x + 2y} /:y = \frac{ \frac{2x + 3y}{y} }{ \frac{3x + 2y}{y} } = \frac{ \frac{2x}{y} + \frac{3y}{y} }{ \frac{3x}{y} + \frac{2y}{y} } = \frac{ 2 \cdot \frac{x}{y} \: + \: 3 }{3 \cdot \frac{x}{y} \: + \: 2} = \frac{2 \cdot 2 \: + \: 3}{3 \cdot 2 \: + \: 2} = \frac{4 \: + \: 3}{6 \: + \: 2} = \frac{7}{8}$