Question

Which expression is equivalent to the following complex fraction ?

Answer 1

`(y+1)/(y-1)`

Explanation:

`(1+(1)/(y))/(1-(1)/(y))`

First we simplify the numerator

`1+(1)/(y)`, make the denominators same

`(1*y)/(1*y)+(1)/(y)`

`(y+1)/(y)`

now we simplify the denominator

`1-(1)/(y)`, make the denominators same

`(1*y)/(1*y)-(1)/(y)`

`(y-1)/(y)`

`((y+1)/(y))/((y-1)/(y))`

both top and bottom have same denominator y so we cancel it out

`(y+1)/(y-1)`

Answer 2

1+ 1/y÷1-1/y = y+1 /y÷y-1/y = y+1/ y-1