niwood16
contestada

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)

Respuesta :

AlphasLuna
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: The answer is (D) [tex]\dfrac{(2y-1)}{(3y+1)}.[/tex]

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

[tex]f=\dfrac{\left(2-\dfrac{1}{y}\right)}{\left(3+\dfrac{1}{y}\right)}.[/tex]

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

We have

[tex]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)}.[/tex]

Thus, (D) is the correct option.

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