What is (1+1/x)/(1-1/x) ?

The solution to (1+1/x)/(1-1/x) is (x+1)/(x-1)

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

simplify

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

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

Solution steps

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

Join

1 + \frac{1}{x} : \frac{x + 1}{x}

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

Join

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

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

Apply the fraction rule:

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

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

Cancel the common factor:

x

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

\frac{3}{x - 3} - \frac{3 x}{x - 5}

h (t)

(- 11 - 6 i) - (4 + 10 i)

(x - 3)^{2} - 4

\frac{0.35714}{7 ^{2.8}}