How do you find the reciprocal of #-1/5#?

2 Answers
May 24, 2017

The reciprocal of #-1/5 # is #-5/1 #

Explanation:

The reciprocal of a number (#x#) is also known as the multiplicative inverse:
'the multiplying opposite'. (This means just invert it.)

It comes from #1/x#

The reciprocal of #a/b# would be #1/(a/b)# which is #b/a#.

The reciprocal of of #-m/n# is #-n/m#

The product of a number and its reciprocal is always #+1#.

#a/b xx b/a = 1" and " -m/n xx -n/m = 1#

The reciprocal of #-1/5 # is #-5/1 = -5#

May 24, 2017

#-5#

Explanation:

#"the reciprocal of a number n, is" 1/n#

#rArr"reciprocal of " -1/5=1/(-1/5)=-5#