簡約 (5.05^2-5(5.05))/(5.05^2-25)

解

簡約

\frac{5.0 5 ^{2} - 5 ( 5.05 )}{5.0 5 ^{2} - 25}

0.50248 \dots

解答ステップ

\frac{5.0 5 ^{2} - 5 ( 5.05 )}{5.0 5 ^{2} - 25}

括弧を削除する:

(a) = a

= \frac{5.0 5 ^{2} - 5 \cdot 5.05}{5.0 5 ^{2} - 25}

5.0 5^{2} - 5 \cdot 5.05 = 0.2525

= \frac{0.2525}{5.0 5 ^{2} - 25}

5.0 5^{2} - 25 = 0.5025

= \frac{0.2525}{0.5025}

数を割る:

\frac{0.2525}{0.5025} = 0.50248 \dots

= 0.50248 \dots