Dear LyX developers, To fix the 8 years old bug http://www.lyx.org/trac/ticket/5220 "different conversion of vulgar fraction unicode chars", I recommend using \sfrac from the xfrac package.
The xfrac.sty package (http://www.ctan.org/pkg/xfrac) from the LaTeX 3 team exists since 2004 and is under active development. It was too new for consideration 8 years ago but nowadays this should no longer be a problem. It is the best current praxis (part of "texlive-latex-recommended" in Debian) and works for different fonts, is configurable and well documented. The examples http://www.lyx.org/trac/raw-attachment/ticket/5220/vulgar-fractions4.pdf and http://www.lyx.org/trac/raw-attachment/ticket/5220/vulgar-fractions4-times.pdf show the problem with the current setup and what can be achieved with cfrac. +1 good looking, consistent output for fraction-characters (¼ ½ ⅚ ℀ ℁ ⅍) using the state-of-the-art package. -1 additional dependency. Objections? Günter