How show rational simplification?

Question

I need to show the path to simplify fractions, i.e., through their common divisors, so that show the first simplifications. For example: 18/6 I'd want to show some like this:

\frac{\cancel{18}^9}{\cancel{6}_3} 

Taking 2 as a common divisor, I want that the 9 and the 3 appear above/below of 18 and 6 respectively. If I have more divisors they appear above/below of previous, for example, 50:

\cancel{50}^{\cancel{10}^{2}}

i.e., I want that 10 appears above of the cancelled 50, the 2 appear above of the cancelled 10 (if I divide for 5)

Is there some command or package that does that?

Thanks a lot!

Answer 1

With a \substack and \sout from ulem you could do

\documentclass{article}
\usepackage{ulem}
\usepackage{amsmath}
\begin{document}
$\frac{\substack{9\\\text{\sout{18}}}}{\substack{\text{\sout{6}}\\3}}$
\end{document}

You can keep adding lines to the stack, so you can have multiple divisors if you want.

Answer 2

As suggest @Imran in his comment - use of cancel package do this:

\documentclass[margin=3.141592]{standalone}
\usepackage{cancel}

\begin{document}
$\frac{\cancel{50}^{~5}}{\cancel{10}^{~1}} = 5$
\end{document}