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)

Question

asked Nov 20, 2018 221k views

2 Answers

MarutiB · Answer 1 · 2018-11-21T21:59:51+0000

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.

Yavanosta · Answer 2 · 2018-11-26T21:01:19+0000

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.