Question

Which expression is equivalent to the following complex fraction?

Answer 1

The equivalent expression of $(1 + \frac{1}{y}) \div (1-\frac 1y)$ is $\frac{y + 1}{y-1}$

How to determine the equivalent fraction?

The fraction is given as:

$(1 + \frac{1}{y}) \div (1-\frac 1y)$

Take the LCM

$\frac{y + 1}{y} \div \frac{y-1}y$

Express as products

$\frac{y + 1}{y} \times \frac{y}{y-1}$

Evaluate the product

$\frac{y + 1}{y-1}$

Hence, the equivalent expression of $(1 + \frac{1}{y}) \div (1-\frac 1y)$ is $\frac{y + 1}{y-1}$

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