已知1/2=1/1+1/1,2/3=1/1+1/1+1/1,我们称等式右边为连分数,请将8/13写成连分数形式?
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![已知1/2=1/1+1/1,2/3=1/1+1/1+1/1,我们称等式右边为连分数,请将8/13写成连分数形式?](/uploads/image/z/7660239-15-9.jpg?t=%E5%B7%B2%E7%9F%A51%2F2%3D1%2F1%2B1%2F1%2C2%2F3%3D1%2F1%2B1%2F1%2B1%2F1%2C%E6%88%91%E4%BB%AC%E7%A7%B0%E7%AD%89%E5%BC%8F%E5%8F%B3%E8%BE%B9%E4%B8%BA%E8%BF%9E%E5%88%86%E6%95%B0%2C%E8%AF%B7%E5%B0%868%2F13%E5%86%99%E6%88%90%E8%BF%9E%E5%88%86%E6%95%B0%E5%BD%A2%E5%BC%8F%3F)
已知1/2=1/1+1/1,2/3=1/1+1/1+1/1,我们称等式右边为连分数,请将8/13写成连分数形式?
已知1/2=1/1+1/1,2/3=1/1+1/1+1/1,我们称等式右边为连分数,请将8/13写成连分数形式?
已知1/2=1/1+1/1,2/3=1/1+1/1+1/1,我们称等式右边为连分数,请将8/13写成连分数形式?
已知1/2=1/(1+1/1),
2/3=1/(1+1/(1+1/1)),
.
8/13=1/(13/8)
=1/(1+5/8)
=1/(1+1/(8/5))
=1/(1+1/(1+3/5))
=1/(1+1/(1+1/(5/3)))
=1/(1+1/(1+1/(1+2/3)))
=1/(1+1/(1+1/(1+1/(3/2))))
=1/(1+1/(1+1/(1+1/(1+1/2))))
=1/(1+1/(1+1/(1+1/(1+1/(2/1)))))
=1/(1+1/(1+1/(1+1/(1+1/(1+1/1)))))