簡約 (0.82585)/((1+0.088582S)(1+0.014589S))

解

簡約

\frac{0.82585}{( 1 + 0.088582 S ) ( 1 + 0.014589 S )}

\frac{16517}{20000 ( 1 + 0.088582 S ) ( 1 + 0.014589 S )}

解答ステップ

\frac{0.82585}{( 1 + 0.088582 S ) ( 1 + 0.014589 S )}

簡素化

\frac{0.82585}{( 1 + 0.088582 S ) ( 1 + 0.014589 S )} : \frac{82585}{100000 ( 1 + 0.088582 S ) ( 1 + 0.014589 S )}

= \frac{82585}{100000 ( 1 + 0.088582 S ) ( 1 + 0.014589 S )}

数を因数に分解する:

82585 = 5 \cdot 16517

= \frac{5 \cdot 16517}{100000 ( 1 + 0.088582 S ) ( 1 + 0.014589 S )}

数を因数に分解する:

100000 = 5 \cdot 20000

= \frac{5 \cdot 16517}{5 \cdot 20000 ( 1 + 0.088582 S ) ( 1 + 0.014589 S )}

共通因数を約分する:

5

= \frac{16517}{20000 ( 1 + 0.088582 S ) ( 1 + 0.014589 S )}