Question

計算：

1

1+ 2 1+ 3 1+ 4 5 +1 +1

．

Answer 1

考點：繁分數的化簡

專題：計算問題（巧算速算）

分析：此題是階梯式的繁分數，從下往上逐步化簡，解決問題．

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

點評：對于此類繁分數，一般采取應從下往上計算的方法進行化簡．