Question

2001/ 2004 x 2005/2003 x 2004/2000 x 2003/2002 x 2002/2001x 400/401( tính bằng cách thuận tiện nhất) MN GIẢI GIÚP EM VỚI Ạ

Answer 1

\(\dfrac{2001}{2004}\times\dfrac{2005}{2003}\times\dfrac{2004}{2000}\times\dfrac{2003}{2002}\times\dfrac{2002}{2001}\times\dfrac{400}{401}\)

\(=\dfrac{2001\times2002\times2003\times2004\times2005}{2000\times2001\times2002\times2003\times2004}\times\dfrac{400}{401}\)

\(=\dfrac{2005}{2000}\times\dfrac{400}{401}\)

\(=\dfrac{401\times5\times400}{400\times5\times401}=1\)