1−5/6+7/12−9/20+11/30−13/42+15/56−17/72+19/90=_.

问题描述:

1−

5
6
+
7
12
9
20
+
11
30
13
42
+
15
56
17
72
+
19
90
=______.

1-

5
6
+
7
12
-
9
20
+
11
30
-
13
42
+
15
56
17
72
+
19
90

=1-(
1
2
+
1
3
)+(
1
3
+
1
4
)-(
1
4
+
1
5
)+(
1
5
+
1
6
)+(
1
6
+
1
7
)-(
1
7
+
1
8
)+(
1
8
+
1
9
)-(
1
9
1
10
),
=1-
1
2
+
1
10

=
1
2
+
1
10

=
3
5

故答案为:
3
5