Question

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

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) $\dfrac{(2y-1)}{(3y+1)}.$

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

$f=\dfrac{\left(2-\dfrac{1}{y}\right)}{\left(3+\dfrac{1}{y}\right)}.$

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

We have

$f\\\\=\dfrac{\left(2-\dfrac{1}{y}\right)}{\left(3+\dfrac{1}{y}\right)}\\\\=\left(\dfrac{2y-1}{y}\right)\left(\dfrac{y}{3y+1}\right)\\\\=\dfrac{(2y-1)}{(3y+1)}.$

Thus, (D) is the correct option.