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Popular >

simplify (x-1)/(1-1/x)

Solution

simplify

\frac{x - 1}{1 - \frac{1}{x}}

Solution

x

Solution steps

\frac{x - 1}{1 - \frac{1}{x}}

Join

1 - \frac{1}{x} : \frac{x - 1}{x}

= \frac{x - 1}{\frac{x - 1}{x}}

Apply the fraction rule:

\frac{a}{\frac{b}{c}} = \frac{a \cdot c}{b}

= \frac{( x - 1 ) x}{x - 1}

Cancel the common factor:

x - 1

= x

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Frequently Asked Questions (FAQ)

What is (x-1)/(1-1/x) ?
The solution to (x-1)/(1-1/x) is x