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

Answer: [tex]\frac{2-\frac{1}{y} }{3+\frac{1}{y} }[/tex] is equivalent to [tex]\frac{2y-1}{3y-1}[/tex]Step-by-step explanation:The given expression is :[tex]\frac{2-\frac{1}{y} }{3+\frac{1}{y} }[/tex].We collect LCM in both the numerator and the denominator to obtain:[tex]\frac{\frac{2y-1}{y} }{\frac{3y-1}{y} }[/tex]Change to the normal division sign;[tex]\frac{2y-1}{y} \div \frac{3y-1}{y}[/tex]Multiply by the reciprocal of the second fraction:[tex]\frac{2y-1}{y} \times \frac{y}{3y-1}[/tex]Cancel out the common factors[tex]\frac{2y-1}{3y-1}[/tex]Therefore [tex]\frac{2-\frac{1}{y} }{3+\frac{1}{y} }[/tex] is equivalent to [tex]\frac{2y-1}{3y-1}[/tex]