高手急救！！请问1/1996+ 1/1997+1/1998+1/1999＝？的答案是多少呢？（不用计算器）给出详细过程，谢谢咯

显示全部楼层 · 2011-7-12 11:00:15

解；原式=1/1996+1/1999+1/1997+1/1998=(1996+1999)/1996X1999+(1997+1998)/1997X1998 =3995X(1/1996X1999+1/1997X1998）=3995/(1996+1999+1997+1998)/1996X1997X1998X1999=3995x7990/1996x1997x1998x1999...

千问 · 2011-7-12 11:00:15

1/1996+ 1/1997+1/1998+1/1999约等于1/2000+1/2000+1/2000+1/2000=4*1/2000=1/500=0.002...

千问 · 2011-7-12 11:00:15

1996+1997+1998+1999=7990...