1+
1
11+
1
1+
1
2+
1
1+
1
4
=
1
19
223
1
19
223
分析:此題屬于階梯式繁分?jǐn)?shù)化簡,對于這類繁分?jǐn)?shù),應(yīng)從下往上依次進(jìn)行,直到最簡為止.
解答:解:1+
1
11+
1
1+
1
2+
1
1+
1
4
,
=1+
1
11+
1
1+
1
2+
1
5
4

=1
1
11+
1
1+
1
2+
4
5
,
=1+
1
11+
1
1+
1
14
5

=1+
1
11+
1
1+
5
14
,
=1+
1
11+
1
19
14

=1+
1
11+
14
19
,
=1+
1
223
19
,
=1+
19
223

=1
19
223

故答案為:1
19
223
點(diǎn)評:對于階梯式繁分?jǐn)?shù)化簡,從下往上依次進(jìn)行.
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