一道奥数题.1/(1+1/(2+1/(x+1/4)))=8/11.答案等于一又四分之一,

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一道奥数题.1/(1+1/(2+1/(x+1/4)))=8/11.答案等于一又四分之一,
一道奥数题.1/(1+1/(2+1/(x+1/4)))=8/11.答案等于一又四分之一,

一道奥数题.1/(1+1/(2+1/(x+1/4)))=8/11.答案等于一又四分之一,
1/(1+1/(2+1/(x+1/4)))=8/(8+8/(2+1/(x+1/4)))=8/11
8+8/(2+1/(x+1/4))=11
8/(2+1/(x+1/4))=3
8=3*(2+1/(x+1/4))
(2+1/(x+1/4))=8/3
1/(x+1/4)=2/3
x+1/4=3/2
x=5/4

1

奥数的话,应该不会这么简单吧

可以用最普通的分数化简啊 x加四分之一写成四分之4x加一 化简就可以

1/(1+1/(2+1/(x+1/4)))=8/(8+8/(2+1/(x+1/4)))=8/11
8+8/(2+1/(x+1/4))=11
8/(2+1/(x+1/4))=3
8=3*(2+1/(x+1/4))
(2+1/(x+1/4))=8/3
1/(x+1/4)=2/3
x+1/4=3/2
x=5/4 应该不会这么简单吧