簡約 [1+(0.5)/(0.95)(0.11774)/(0.0002594)]^{-1}

解

簡約

[1 + \frac{0.5}{0.95} \frac{0.11774}{0.0002594}]^{- 1}

\frac{24643}{5911643}

十進法表記

0.00416 \dots

解答ステップ

(1 + \frac{0.5}{0.95} \cdot \frac{0.11774}{0.0002594})^{- 1}

指数の規則を適用する:

a^{- 1} = \frac{1}{a}

(1 + \frac{0.5}{0.95} \cdot \frac{0.11774}{0.0002594})^{- 1} = \frac{1}{1 + \frac{0.5}{0.95} \cdot \frac{0.11774}{0.0002594}}

= \frac{1}{1 + \frac{0.5}{0.95} \cdot \frac{0.11774}{0.0002594}}

\frac{1}{1 + \frac{0.5}{0.95} \cdot \frac{0.11774}{0.0002594}} = \frac{0.00024643}{0.05911643}

= \frac{0.00024643}{0.05911643}

\frac{0.00024643}{0.05911643} = \frac{24643}{5911643}

= \frac{24643}{5911643}