1998×(1/11−1/2009)+11×(1/1998−1/2009)−2009×(1/11+1/1998)+3=_.

问题描述:

1998×(

1
11
1
2009
)+11×(
1
1998
1
2009
)−2009×(
1
11
+
1
1998
)+3=______.

1998×(111−12009)+11×(11998−12009)−2009×(111+11998)+3,=3-(2009-1998)×111-(1998+11)×12009-(2009-11)×11998,=3-11×111-2009×12009-1998×11998,=3-1-1-1,=0.故答案为:0....