Evaluate (|1/x|)/(1/x)

$\frac{| \frac{1}{x} |}{\frac{1}{x}}$

Multiply the numerator by the reciprocal of the denominator.

$| \frac{1}{x} | x$

Reorder factors in $| \frac{1}{x} | x$ .

$x | \frac{1}{x} |$

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