簡約 (2(-0.501)+1)/(1/4-(-0.501^2))

解

簡約

\frac{2 ( - 0.501 ) + 1}{\frac{1}{4} - ( - 0.50 1 ^{2} )}

- 0.003992008

解答ステップ

\frac{2 ( - 0.501 ) + 1}{\frac{1}{4} - ( - 0.50 1 ^{2} )}

括弧を削除する:

(- a) = - a, - (- a) = a

= \frac{- 2 \cdot 0.501 + 1}{\frac{1}{4} + 0.50 1 ^{2}}

- 2 \cdot 0.501 + 1 = - 0.002

= \frac{- 0.002}{\frac{1}{4} + 0.50 1 ^{2}}

0.50 1^{2} = 0.251001

= \frac{- 0.002}{\frac{1}{4} + 0.251001}

分数の規則を適用する:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{0.002}{\frac{1}{4} + 0.251001}

元を10進法形式に変換する

\frac{1}{4} = 0.25

= - \frac{0.002}{0.25 + 0.251001}

数を足す:

0.25 + 0.251001 = 0.501001

= - \frac{0.002}{0.501001}

数を割る:

\frac{0.002}{0.501001} = 0.003992008

= - 0.003992008