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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 complex Fraction z=(2-[tex]\frac{1}{y}[/tex])/3+[tex]\frac{1}{y}[/tex], is equal to:

4)2y-1/3y+1

writing equations from the question

Q Which expression is equivalent to the complex fraction

z=(2-[tex]\frac{1}{y}[/tex])/3+[tex]\frac{1}{y}[/tex],

1)3y+1/2y-1

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

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

4)2y-1/3y+1

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

Taking LCM (Lowest Common Multiple)

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

As there are fractions being divided by fractions the denominator fraction will get multiplied as a reciprocal with the fraction in the numerator.

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

The y 's are both cancelled out by each other with one being in the numerator and the other as the denominator.

so, z=2y-1 X [tex]\frac{1}{3y+1}[/tex]

z=2y-1/3y+1

thus the answer is option 4)2y-1/3y+1

Learn more about complex numbers at:

brainly.com/question/28007020

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