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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Join

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

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

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

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

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

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Frequently Asked Questions (FAQ)

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