These seem to format the way you are wishing. Here is a screenshot of the notebook:
I do note however that the TexForm of, say,
Nest[1 + 1/# &, "...", 7] // TeXForm
gives this
\frac{1}{\frac{1}{\frac{1}{\frac{1}{\frac{1}{\frac{1}{\frac{1}{\text{...}}+1}+1}+1}+1}+1}
+1}+1
which formats (at least in this forum's TeX typsetting) as
$\frac{1}{\frac{1}{\frac{1}{\frac{1}{\frac{1}{\frac{1}{\frac{1}{\text{...}}+1}+1}+1}+1}+1}
+1}+1$
Is this the issue that you are referring to? The Mathematica native typesetting seems to be fine. The TeX seems to be the opposite of what's desired.