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I am trying to generate random fractions and write their simplification to an external tex file using the code below. But, il only repeats the last one several times. Is there a why to write each generated fraction (and its simplified form) the the external tex file ? Thank you

 \documentclass[a4paper,11pt]{article} \usepackage{ProfLycee} \everymath{\displaystyle} \begin{document} \newwrite\myoutput \immediate\openout\myoutput=\jobname-corr.tex \newcommand{\foo}[2]{ \write\myoutput{\unexpanded{$\dfrac{#1}{#2}=$\ConversionFraction{#1/#2}}} \write\myoutput{\unexpanded{\par \bigskip}} } \textbf{Exercice} : simplify each fraction. \par \bigskip \foreach \n in {1,2,...,5}{ \NbAlea{3}{50}{\aaa} \NbAlea{\aaa+1}{60}{\bbb} $\dfrac{\aaa}{\bbb} = \dfrac{\dots}{\dots}$ \par \bigskip \foo{\aaa}{\bbb} \par } \newpage \write\myoutput{\textbf{Correction} : \par } \immediate\closeout\myoutput \input{\jobname-corr.tex} \end{document}
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    I used to use C++ to write TeX code to create math worksheets. I can show you how if you are interested. (See elfsoft2000.com/worksheets/index.htm) Commented Apr 15 at 18:12
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    @JohnKormylo thank you. I can do it using Python but I am trying to simplify (in my opinion) the work using tex primitives. Commented Apr 15 at 18:17
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    you are explicitly using \unexpanded so just writing out the form with \aaa and \bbb each time, you want to not do that, and write the values of those variables, Commented Apr 15 at 18:24
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    @DavidCarlisle the problem remains even if I remove the "unexpanded" command. Commented Apr 15 at 18:56

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TeXbook, Chapter 20: Definitions (also called Macros) says:

Here now is the promised list of all cases when expandable tokens are not expanded. [...] Expansion is suppressed at the following times:
[...]
When TeX is absorbing the replacement text of a \def or \gdef or \read; or the text of a token variable like \everypar or \toks0; or the token list for \uppercase or \lowercase or \write. (The token list for \write will be expanded later, when it is actually output to a file.)

Inside the \foreach-loop you have directives \foo for (beneath other things) writing the tokens \aaa and \bbb unexpanded to file when the output-routine ships out the page.

But instead of \aaa and \bbb their toplevel-expansion should be written.

\documentclass[a4paper,11pt]{article} \usepackage{ProfLycee} \everymath{\displaystyle} % Really? \begin{document} \newwrite\myoutput \immediate\openout\myoutput=\jobname-corr.tex \newcommand{\foo}[2]{% \write\myoutput{% \string$\string\dfrac\unexpanded{{#1}{#2}}\string=\string\ConversionFraction\unexpanded{{#1/#2}$}% }% \write\myoutput{\string\par\string\bigskip}% } \textbf{Exercice} : simplify each fraction. \par \bigskip \foreach \n in {1,2,...,5}{% \NbAlea{3}{50}{\aaa}% \NbAlea{\aaa+1}{60}{\bbb}% $\dfrac{\aaa}{\bbb} = \dfrac{\dots}{\dots}$% % Use \ExpandArgs for optaining toplevel-expansion of \aaa and \bbb: \ExpandArgs{oo}\foo{\aaa}{\bbb}% \par\bigskip } \write\myoutput{\string\textbf{Correction} : \string\par} % Don't mix delayed/non-immediate\write with \immediate\closeout. % This might close the file before everything is written. % Better use \newpage to trigger output-routine and delayed action. \closeout\myoutput \newpage \input{\jobname-corr.tex} \end{document}

Alternatively to having TeX write when the output-routine ships out the page and playing with \newpage for triggering the carrying out of delayed actions, do everything in terms of \immediate:

\documentclass[a4paper,11pt]{article} \usepackage{ProfLycee} \everymath{\displaystyle} % Really? \begin{document} \newwrite\myoutput \immediate\openout\myoutput=\jobname-corr.tex \newcommand{\foo}[2]{% \immediate\write\myoutput{% \string$\string\dfrac\unexpanded{{#1}{#2}}\string=\string\ConversionFraction\unexpanded{{#1/#2}$}% }% \immediate\write\myoutput{\string\par\string\bigskip}% } \textbf{Exercice} : simplify each fraction. \par \bigskip \foreach \n in {1,2,...,5}{% \NbAlea{3}{50}{\aaa}% \NbAlea{\aaa+1}{60}{\bbb}% $\dfrac{\aaa}{\bbb} = \dfrac{\dots}{\dots}$% % Use \ExpandArgs for optaining toplevel-expansion of \aaa and \bbb: \ExpandArgs{oo}\foo{\aaa}{\bbb}% \par\bigskip } \immediate\write\myoutput{\string\textbf{Correction} : \string\par} \immediate\closeout\myoutput \input{\jobname-corr.tex} \end{document}
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If you look at the file written out you will see there are no values, just \aaa and \bbb as you have prevented expansion with \unexpanded. Removing that enables the values to be written out, you should probably also not use non-immediate writes, but here I force expansion before the call to \foo

enter image description here

\documentclass[a4paper,11pt]{article} \usepackage{ProfLycee} \everymath{\displaystyle} \begin{document} \newwrite\myoutput \immediate\openout\myoutput=\jobname-corr.tex \newcommand{\foo}[2]{% \write\myoutput{{$\dfrac{#1}{#2}=\noexpand\ConversionFraction{#1/#2}$}} \write\myoutput{\unexpanded{\par \bigskip}} } \textbf{Exercice} : simplify each fraction. \par \bigskip \foreach \n in {1,2,...,5}{ \NbAlea{3}{50}{\aaa} \NbAlea{\aaa+1}{60}{\bbb} $\dfrac{\aaa}{\bbb} = \dfrac{\dots}{\dots}$ \par \bigskip \expanded{\noexpand\foo{\aaa}{\bbb}} \par } \write\myoutput{\textbf{Correction} : \par } \newpage \immediate\closeout\myoutput \input{\jobname-corr.tex} \end{document}
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