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Answer by JKismyhusbandbae:
[tex]Line\:up\:the\:numbers\\\begin{matrix}\space\space&4&2&7\\ +&3&6&4\end{matrix}\\Add\:each\:column\:of\:digits,\:starting\:on\:the\:right\:and\:working\:left.\\\mathrm{If\:the\:sum\:of\:a\:column\:is\:more\:than\:ten,\:'carry'\:digits\:to\:the\:next\:column\:on\:the\:left.}\\\mathrm{Add\:the\:digits\:of\:the\:bolded\:column}:\quad \:7+4=11\\\begin{matrix}\space\space&4&2&\textbf{7}\\ +&3&6&\textbf{4}\end{matrix}\\[/tex]
[tex]\mathrm{Carry\:}1\mathrm{\:to\:the\:column\:on\:the\:left\:and\:write\:}1\mathrm{\:in\:the\:bolded\:column}\\\frac{\begin{matrix}\space\space&\space\space&1&\textbf{\space\space}\\ \space\space&4&2&\textbf{7}\\ +&3&6&\textbf{4}\end{matrix}}{\begin{matrix}\space\space&\space\space&\space\space&\textbf{1}\end{matrix}}\\\mathrm{Add\:the\:digits\:of\:the\:bolded\:column}:\quad \:1+2+6=9\\[/tex]
[tex]\frac{\begin{matrix}\space\space&\space\space&\textbf{1}&\space\space\\ \space\space&4&\textbf{2}&7\\ +&3&\textbf{6}&4\end{matrix}}{\begin{matrix}\space\space&\space\space&\textbf{9}&1\end{matrix}}\\\mathrm{Add\:the\:digits\:of\:the\:bolded\:column}:\quad \:4+3=7\\\frac{\begin{matrix}\space\space&\textbf{\space\space}&1&\space\space\\ \space\space&\textbf{4}&2&7\\ +&\textbf{3}&6&4\end{matrix}}{\begin{matrix}\space\space&\textbf{7}&9&1\end{matrix}}\\=791[/tex]
