题目内容

计算:
1
1+
2
1+
3
1+
4
5
+1
+1
考点:繁分数的化简
专题:计算问题(巧算速算)
分析:此题是阶梯式的繁分数,从下往上逐步化简,解决问题.
解答: 解:
1
1+
2
1+
3
1+
4
5
+1
+1

=
1
1+
2
1+
3
9
5
+1

=
1
1+
2
1+
5
3
+1

=
1
1+
2
8
3
+1

=
1
1+
3
4
+1

=
1
11
4

=
4
11
点评:对于此类繁分数,一般采取应从下往上计算的方法进行化简.
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