(1)1-
1
6 2 =1-
1
36 =
35
36 =
5
6 ×
7
6 ,
1-
1
10 0 2 =1-
1
10000 =
9999
10000 =
99
100 ×
101
100 ;
(2)根据题意得:原式=
1
2 ×
3
2 ×
2
3 ×
4
3 ×
3
4 ×
5
4 ×
4
5 ×
6
5 ×…×
2012
2013 ×
2014
2013
=
1007
2013 .
故答案为:
5
6 ;
7
6 ;
99
100
101
100 .
(1)1-
1
6 2 =1-
1
36 =
35
36 =
5
6 ×
7
6 ,
1-
1
10 0 2 =1-
1
10000 =
9999
10000 =
99
100 ×
101
100 ;
(2)根据题意得:原式=
1
2 ×
3
2 ×
2
3 ×
4
3 ×
3
4 ×
5
4 ×
4
5 ×
6
5 ×…×
2012
2013 ×
2014
2013
=
1007
2013 .
故答案为:
5
6 ;
7
6 ;
99
100
101
100 .