In order to find the reciprocal of a number, we should just flop it over, like so:-
[tex]\sf{The~reciprocal~of~a~is~\frac{1}{a} }}[/tex]
According to the formula, the reciprocal of 6 is:-
[tex]\bigstar{\boxed{\pmb{\frac{1}{6}}}[/tex]
Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)