This question is based on the solving the fraction. Therefore, the correct option is B, that is [tex]= {\dfrac{y+1}{y-1}[/tex] is equivalent to the following complex fraction.
Given:
Expression:
[tex]\dfrac{1+\frac{1}{y} }{1-\frac{1}{y} }[/tex]
We need to calculate the expression which is equivalent to given complex fraction.
According to the question,
Firstly, take LCM of numerator and denominator.
We get,
[tex]= \dfrac{\dfrac{y+1}{y} }{\dfrac{y-1}{y} }[/tex]
Now, above expression can be written as follows. Solve it further,
[tex]= {\dfrac{y+1}{y} }\times{\dfrac{y}{y-1} }[/tex]
Therefore, we get,
[tex]= {\dfrac{y+1}{y-1}[/tex]
Therefore, the correct option is B, that is [tex]= {\dfrac{y+1}{y-1}[/tex] is equivalent to the following complex fraction.
For more details, prefer this link:
https://brainly.com/question/1746429
