簡約 (2.25)/((11s+1)(7s+1)(13s+1)(17s+1))

解

簡約

\frac{2.25}{( 11 s + 1 ) ( 7 s + 1 ) ( 13 s + 1 ) ( 17 s + 1 )}

\frac{9}{4 ( 11 s + 1 ) ( 7 s + 1 ) ( 13 s + 1 ) ( 17 s + 1 )}

解答ステップ

\frac{2.25}{( 11 s + 1 ) ( 7 s + 1 ) ( 13 s + 1 ) ( 17 s + 1 )}

簡素化

\frac{2.25}{( 11 s + 1 ) ( 7 s + 1 ) ( 13 s + 1 ) ( 17 s + 1 )} : \frac{225}{100 ( 11 s + 1 ) ( 7 s + 1 ) ( 13 s + 1 ) ( 17 s + 1 )}

= \frac{225}{100 ( 11 s + 1 ) ( 7 s + 1 ) ( 13 s + 1 ) ( 17 s + 1 )}

数を因数に分解する:

225 = 25 \cdot 9

= \frac{25 \cdot 9}{100 ( 11 s + 1 ) ( 7 s + 1 ) ( 13 s + 1 ) ( 17 s + 1 )}

数を因数に分解する:

100 = 25 \cdot 4

= \frac{25 \cdot 9}{25 \cdot 4 ( 11 s + 1 ) ( 7 s + 1 ) ( 13 s + 1 ) ( 17 s + 1 )}

共通因数を約分する:

25

= \frac{9}{4 ( 11 s + 1 ) ( 7 s + 1 ) ( 13 s + 1 ) ( 17 s + 1 )}