I am having trouble getting Mathematica to retain my original equation form. For example:

As you can see, even though I use HoldForm, it still changes the style of my equation. Very frustrating.
I am having trouble getting Mathematica to retain my original equation form. For example:

As you can see, even though I use HoldForm, it still changes the style of my equation. Very frustrating.
Here you have to enforce fraction on the Boxes level. This is one possible way to do it:
SetAttributes[fraction, Attributes@MakeBoxes];
MakeBoxes[fraction[a_, b_], rest_] ^:=
FractionBox[MakeBoxes[a, rest], MakeBoxes[b, rest]]
Then you can manually transform subexpressions:
fixFractions = # /. Times[a_, Power[b_, -1]] :> fraction[a, b] &;
An example:
(1 + Sqrt[1+8b(b-1)])/2 // HoldForm // fixFractions // TraditionalForm
However, sometimes you might want to leave Times[_, Power[_, -1]] as it is. Good news it's not difficult to control with pattern-matching.
Note: In this case it works perfectly even without attributes for fraction. However, I don't want to remove the SetAttributes[fraction, Attributes@MakeBoxes] part, even though I myself don't clearly understand the reasons. Comments on that matter are very welcome.
HoldForm. Its only interaction with the front-end is to be treated as an invisible wrapper. It gives the form it wraps no protection from output styling by the front-end. Its protection of the form only extends to preventing evaluation in a kernel. – m_goldberg May 08 '14 at 15:28