Question

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，求过程。

奥数班的一道题。求高手！！！1好难啊！

Answer 1

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

Answer 2

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

Answer 3

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

Answer 4

奥数的话，应该不会这么简单吧

Answer 5

1