分析:通過仔細觀察,發(fā)現(xiàn)每個分數(shù)的分母中的兩個數(shù)相差的數(shù)正好等于分子,于是可把分數(shù)拆成兩個分數(shù)相減的形式,然后通過分數(shù)加、減相互抵消,求得結(jié)果.
解答:解:
+
+
+
+
+
+
+
,
=
-
+
-
+
-
+
-
+
-
+
-
+
-
+
-
,
=1-
,
=
;
故答案為:
.
點評:此題中的每個分數(shù)形如
=-,然后通過加減抵消的方法,解決問題.
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