# A symbol for the quotient of two objects

One often needs a symbol to denote the quotient of two (algebraic) objects (e.g. quotient by a subgroup, subring, submodule etc.). In simple cases people use A/B. But when both A and B are complicated to write, this doesn't look good. e.g. \mathcal{O}_{(V',0)}/\mathcal{O}_{(V,0)}

For some reason, people do not use just \frac{A}{B}. Is there some way to achieve the following:

$A$ raised a bit, then \Big/ then $B$ a bit lowered.

• Commented Mar 1, 2015 at 13:49

How about using \left, \right, and \raisebox?

\newcommand{\bigslant}[2]{{\raisebox{.2em}{$#1$}\left/\raisebox{-.2em}{$#2$}\right.}}

$$\bigslant{\mathcal{O}_{(V',0)}}{\mathcal{O}_{(V,0)}}$$


which gives

The only problem is that I need to re-enter mathmode inside the \raiseboxes. Anyone know how to avoid that?

• Would it not be a better solution to make the slash a mid, as opposed to a left delimiter, as in: \left.\raisebox{.2em}{$#1$}\mid/\raisebox{-.2em}{$#2$}\right. Note that this requires the amsmath package. Commented Jun 14, 2011 at 18:32
• Sorry, that \mid should have been \middle. Commented Jun 14, 2011 at 19:08
• Yes, I agree, using middle is a better idea. Commented Jun 26, 2011 at 6:11
• The problem with this solution, is that the parameters are interpreted as inline command. E.g. if I write \bigslant{\bigcup_{n \in \mathbb N} S_n}{\sim} the indices are written aside the \bigcup symbol, instead of under it. Do you know how to avoid it? Commented Mar 19, 2012 at 12:54
• Nevermind, I found a solution. I use \bigcup\limits_{n \in \mathbb N}. Commented Mar 19, 2012 at 13:02

If you want to invoke the Someone Else's Problem principle, there's also the faktor package, which ostensibly was designed to do what you want, and which implements using the AMS symbol \diagup. But IMHO the slash is a bit small.

For in-line expressions, you can also consider the nicefrac package, which makes both the "denominator" and "numerator" small.

• Commented Oct 27, 2010 at 16:16
• The current thing to use instead of nicefrac is apparently xfrac. Commented Oct 27, 2010 at 20:44
• Thanks for mentioning my package. I'll have a look on what can be done against the too small slash. Commented Jul 31, 2011 at 4:36

As already mentioned, there are two packages to solve this problem:

• xfrac - typeset fractions in the form n/d generally
• faktor - especially to typeset factor structures

Here is a comparison between the \sfrac{n}{d} and \faktor{n}{d} commands which also demonstrates how they behave in comparison to normal text:

\documentclass[12pt,preview, border={2pt,2pt,2pt,2pt}]{standalone}
\usepackage[english]{babel}
\usepackage{xfrac}
\usepackage{amsmath}
\usepackage[amsmath,thmmarks,standard]{ntheorem}
\usepackage{faktor}

\begin{document}
\begin{alignat*}{4}
\text{This } &\sfrac{\mathcal{O}_{(V',0)}}{\mathcal{O}_{(V,0)}} &\text{ and this } &\sfrac{\mathcal{S}^n}{\equiv_m} &\text{ and this } &\sfrac{A}{B} &&\text{ is \texttt{sfrac}.}\\
\text{This } &\faktor{\mathcal{O}_{(V',0)}}{\mathcal{O}_{(V,0)}} &\text{ and this } &\faktor{\mathcal{S}^n}{\equiv_m} &\text{ and this } &\faktor{A}{B} &&\text{ is \texttt{faktor}.}
\end{alignat*}
\end{document}


I would try with $^{a}/_{b}$, or, based in your example

$^{\mathcal{O}_{(V',0)}}/_{\mathcal{O}_{(V,0)}}$


Also it is possible to do $^{a}\Big/_{b}$.

• Welcome to TeX.SX! You can have a look at our starter guide to familiarize yourself further with our format. Commented Nov 3, 2014 at 23:36

Something like:

\documentclass{article}

\def\quotient#1#2{%
\raise1ex\hbox{$#1$}\Big/\lower1ex\hbox{$#2$}%
}

\begin{document}
$\quotient{\mathcal{O}_{(V',0)}}{\mathcal{O}_{(V,0)}}$
\end{document}


Update, here is a real plain example:

\def\quotient#1#2{%
\raise1ex\hbox{$#1$}\Big/\lower1ex\hbox{$#2$}%
}

$$\quotient{{\cal O}_{(V',0)}}{{\cal O}_{(V,0)}}$$
\bye

• That is essentially the same as Yossi's answer, albeit more plainish. Commented Oct 27, 2010 at 14:29
• $$...$$, really? You should have \m@th inside the inline math in your \hboxes.
– TH.
Commented Oct 27, 2010 at 14:29
• When I wrote it first it was a plain TeX file, but since there is no \mathcal in plain I quickly converted the document to LaTeX just to try it. Commented Oct 27, 2010 at 14:31
• In plain TeX you can use ${\cal O}_{(V',0)}$ Commented Oct 28, 2010 at 5:55

I like Eduardo's answer, but with properly sized numerators/denominators.

(Note the double set of braces in the definition for proper spacing. The outer pair will disappear on use, and without the second set, it will place the quotient smack up against whatever's to the left, trying to make it a superscript.)

\documentclass{article}
\usepackage{amsmath}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%% For quotient groups / modding equiv relations
%%%% Use: \quot{A}{B} --> A/B
\newcommand*\quot[2]{{^{\textstyle #1}\big/_{\textstyle #2}}}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\begin{document}
\begin{align*}
\text{Reference size: }A
\text{Reference size: }E
\end{align*}
\end{document}


I give a very small amelioration which takes care of the different math styles.

% Source : http://tex.stackexchange.com/questions/4624/a-symbol-for-the-quotient-of-two-objects

\documentclass[10pt,a4paper]{article}
\usepackage[utf8x]{inputenc}
\usepackage{ucs}
\usepackage{amsmath}
\usepackage{amsfonts}
\usepackage{amssymb}

\newcommand\quotient[2]{
\mathchoice
{% \displaystyle
\text{\raise1ex\hbox{$#1$}\Big/\lower1ex\hbox{$#2$}}%
}
{% \textstyle
#1\,/\,#2
}
{% \scriptstyle
#1\,/\,#2
}
{% \scriptscriptstyle
#1\,/\,#2
}
}

\newcommand{\setA}{{\cal O}_{(V',0)}}
\newcommand{\setB}{{\cal O}_{(V,0)}}

\begin{document}

One formula in one text : $\frac{4}{5} = \quotient{\setA}{\setB}$
and one formula alone...
$\frac{4}{5} = \quotient{\setA}{\setB}$

What about quotient of quotients ?
$\quotient{\left( \quotient{\setA}{\setB} \right)}{\left( \quotient{\setA}{\setB} \right)}$
Better like this ?
$\quotient{\textstyle \left( \quotient{\setA}{\setB} \right)}{\textstyle \left( \quotient{\setA}{\setB} \right)}$

\end{document}