What is the opposite and reciprocal of -7/2?

1 Answer
May 4, 2018

Answer:

The opposite and reciprocal of #-7/2# is #2/7#.

Explanation:

With a number x, the reciprocal is known as #1/x#.
So we have our x = #-7/2#, our reciprocal #1/x# #=># #1/(-7/2)# #=># #-2/7#.
Since it had asked to be opposite, we put a negative sign in front:
#-(-2/7)# #=># #2/7#.
Since it had asked for the opposite and reciprocal of #-7/2#, we are done, #2/7#.