Question

Which expression is equivalent to the following complex fraction? (2-1/y)/(3+1/y)

a. (3y+1)/(2y-1)
b. (2y-1)(3y+1)/y^2
c. y^2/(2y-1)(3y+1)
d. (2y-1)(3y+1)

Answer 1

The Equivalent of the complex fraction : "(2-1/y)/(3+1/y)"

would be (D) (2y-1)/(3y+1)

That is the correct answer to this problem.

Answer 2

Answer: The answer is (D)
`((2y-1))/((3y+1)).`

Step-by-step explanation: The given complex fraction is

`f=(\left(2-(1)/(y)\right))/(\left(3+(1)/(y)\right)).`

We are to select the correct fraction from the options that is equivalent to the above fraction.

We have

`f\\\\=(\left(2-(1)/(y)\right))/(\left(3+(1)/(y)\right))\\\\=\left((2y-1)/(y)\right)\left((y)/(3y+1)\right)\\\\=((2y-1))/((3y+1)).`

Thus, (D) is the correct option.