The equivalent expression of [tex](1 + \frac{1}{y}) \div (1-\frac 1y)[/tex] is [tex]\frac{y + 1}{y-1}[/tex]
The fraction is given as:
[tex](1 + \frac{1}{y}) \div (1-\frac 1y)[/tex]
Take the LCM
[tex]\frac{y + 1}{y} \div \frac{y-1}y[/tex]
Express as products
[tex]\frac{y + 1}{y} \times \frac{y}{y-1}[/tex]
Evaluate the product
[tex]\frac{y + 1}{y-1}[/tex]
Hence, the equivalent expression of [tex](1 + \frac{1}{y}) \div (1-\frac 1y)[/tex] is [tex]\frac{y + 1}{y-1}[/tex]
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