Question

Which expression is equivalent to the following complex fraction? 1 StartFraction 1 Over y EndFraction divided by 1 minus StartFraction 1 Over y EndFraction StartFraction (y 1) (y minus 1) Over y squared EndFraction StartFraction y 1 Over y minus 1 EndFraction StartFraction y minus 1 Over y 1 EndFraction StartFraction y squared Over (y 1) (y minus 1) EndFraction.

Answer 1

The given solution , the required expression is $\frac{y+1}{y-1}$

Given the complex fraction expressed as:

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

Find the LCM of both the numerator and the denominator.

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

From the given solution, the required expression is $\frac{y+1}{y-1}$

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