问几道计算题：对任何一道题,追加100分.[30÷（1/2加1/3加1/5）]÷[161/374÷598/297×260/31]1995÷1995又1995/199611又201/209÷119/19×34/195×3.0031998又3/1994÷19972005÷2006又1/2004

Question

问几道计算题：对任何一道题,追加100分.
[30÷（1/2加1/3加1/5）]÷[161/374÷598/297×260/31]
1995÷1995又1995/1996
11又201/209÷119/19×34/195×3.003
1998又3/1994÷1997
2005÷2006又1/2004

Answer 1

[30÷（1/2加1/3加1/5）]÷[161/374÷598/297×260/31]
=(30÷31/30)÷(161/347×297/598×260/31)
=900/31×347/161×598/297×31/260
=(9×100×347×2×13×23)/(7×23×3×9×11×2×13×10）
=(10×347)/(7×3×11)
=3740/231
1995÷1995又1995/1996
=1995÷(1995+1995/1996)
=1÷(1+1/1996)
=1÷1997/1996
=1996/1997
11又201/209÷119/19×34/195×3.003
=(5×500)/(11×19）×19/(7×17)×（2×17)/(3×5×13)×(3×7×11×13)/1000
=1
1998又3/1994÷1997
=(1997+1997/1994)÷1997
=1+1/1994
=1又1/1994
2005÷2006又1/2004
=2005÷(2005+2005/2004)
=1÷(1+1/2004)
=1÷2005/2004
=2004/2005