题目内容

(1-
1
22
)
×(1-
1
32
)
×(1-
1
42
)
×…(1-
1
152
)
=______.
(1-
1
22
)
×(1-
1
32
)
×(1-
1
42
)
×…(1-
1
152
)

=(1-
1
2
)×(1+
1
2
)×(1-
1
3
)×(1+
1
3
)×…×(1-
1
15
)×(1+
1
15

=
1
2
×
3
2
×
2
3
×
4
3
×
3
4
×…×
14
15
×
16
15

=
1
2
×
16
15

=
8
15

故答案为:
8
15
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