What is the reciprocal of -2/3?

3 Answers
Oct 29, 2014

#-3/2#

The reciprocal means the multiplicative inverse of a number.
The multiplicative inverse #n'# of a number #n# is a number that when multiplied to #n#, results to the multiplicative identity which is 1.

That is...

#n'*n = 1#


#-2/3x = 1#

#-2x = 3#

#x = -3/2#

Answer:

The Reciprocal of #-2/3# is #-3/2#.

Explanation:

Suppose #n# is a number.
#:.# Reciprocal of that number is #1/n#.

#:.# Reciprocal of #-2/3# #=1/((-2/3))# #=-3/2#. (answer).

Information : The product of a number and its reciprocal is always equal to 1.

#:.# # -2/3 xx-3/2 = 1#.

Oct 17, 2017

Answer:

#-3/2#

Explanation:

Remember:

Reciprocal of a number #color(green)(x/y# is #color(brown)(y/x#

So,
The reciprocal of #color(green)(-2/3# is #color(brown)(-3/2#