What is the reciprocal of 6?

Reciprocal of ##6## is ##1/6##.

A number ##x## is a reciprocal of another number ##a##, if the product of ##x## and ##a## is ##1## i.e.

##x xx a =1##. Now multiplying both sides by ##1/a##, we get

##x xx a xx 1/a=1 xx 1/a## or

##x xx cancel(a) xx 1/cancel(a)=1 xx 1/a## or

##x=1/a##

Hence, it is obvious then that reciprocal of ##6## is ##1/6##.