展开 1/(1+0.5x^{-1)}

解答

展开

\frac{1}{1 + 0.5 x ^{- 1}}

\frac{x}{x + 0.5}

求解步骤

\frac{1}{1 + 0.5 x ^{- 1}}

0.5 x^{- 1} = \frac{0.5}{x}

= \frac{1}{1 + \frac{0.5}{x}}

化简

1 + \frac{0.5}{x} : \frac{x + 0.5}{x}

= \frac{1}{\frac{x + 0.5}{x}}

使用分式法则:

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

= \frac{x}{x + 0.5}

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