What is the reciprocal of 6?
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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#.
The reciporal of #6# is #1/6#.
My source.
So, the reciprocal of any number is 1 divided by the number is the reciprocal of that number. It is pretty much the opposite of the number. 6 can also be written as #6/1#, so you just flip the numbers around. So, it will be #1/6#! But when you need he reciprocal of a fraction, you just flip the number around. For example, lets say that you needed to find the reciprocal of #4/3#, the reciprocal of it will be #3/4#! So now you know how to find a reciprocal of a (whole) number and a fraction! I hope this will help you! 🙂