Which expression is equivalent to the following complex fraction? 2 minus startfraction 1 over y endfraction divided by 3 startfraction 1 over y endfraction startfraction 3 y 1 over 2 y minus 1 endfraction startfraction (2 y minus 1) (3 y 1) over y squared endfraction startfraction y squared over (2 y minus 1) (3 y 1) endfraction startfraction 2 y minus 1 over 3 y 1 endfraction

Respuesta :

The expression which is equal to the given complex fraction will be

(2-(1/y)/3+(1/y)=(2y-1)/(3y+1)

 

What is a complex fraction?

The complex fraction will be defined as the expression containing the fractions in their numerator and denominator or at least one of them like either numerator or denominator containing fraction in it.

now we have to find the solution to the given expression:

[tex]=\dfrac{2-\frac{1}{y} }{3+\frac{1}{y} }[/tex]

[tex]=\dfrac{\dfrac{2y-1}{y} }{\dfrac{3y+1}{y} }[/tex]

[tex]=\dfrac{2y-1}{3y+1}[/tex]

Hence the expression which is equal to the given complex fraction will be

[tex]\dfrac{2-\frac{1}{y} }{3+\frac{1}{y} }= \dfrac{2y-1}{3y+1}[/tex]

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Answer:

D

Step-by-step explanation:

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