Correct option is third [tex]\frac{2+3}{3}=\frac{x+y}{y}[/tex]
Given that:
[tex]\frac{2}{3}=\frac{x}{y}[/tex]
Need to check which of the expression from given four expressions will be true.
Let's first try to eliminate wrong options.
If we observe carefully, we can say that option 2 that is [tex]\frac{3}{2}=\frac{x}{y}[/tex] is not correct as [tex]\frac{x}{y}[/tex] must be equal to [tex]\frac{2}{3}[/tex] and not [tex]\frac{3}{2}[/tex]
Lets now modify given expression that is:
[tex]\frac{2}{3}=\frac{x}{y}[/tex]
On adding 1 to both sides we get
[tex]\frac{2}{3}+1=\frac{x}{y}+1[/tex]
[tex]=>\frac{2+3}{3}=\frac{x+y}{y} \text { which is same as third option. }[/tex]
Hence correct option is third one that is [tex]\frac{2+3}{3}=\frac{x+y}{y}[/tex]
