问题 解答题
计算:(
1
2
+
1
4
+
1
6
+
1
8
)-(
1
3
+
1
6
+
1
9
+
1
12
)+(
1
4
+
1
8
+
1
12
+
1
16
)-(
1
5
+
1
10
+
1
15
+
1
20
)
=______.
答案

1
2
+
2
4
+
1
8
+
1
16
)-(
1
3
+
1
6
+
1
9
+
1
12
)+(
1
4
+
1
8
+
1
12
+
1
16
)+(
1
5
+
1
10
+
1
15
+
1
20

=

1
2
×(1+
1
2
+
1
3
+
1
4
)-
1
3
×(1+
1
2
+
1
3
+
1
4
)+
1
4
×(1+
1
2
+
1
3
+
1
4
)-
1
5
×(1+
1
2
+
1
3
+
1
4
),

=(1+

1
2
+
1
3
+
1
4
)×(
1
2
-
1
3
+
1
4
-
1
5
),

=

25
12
×
13
60

=

65
144

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