What is the opposite and reciprocal of 2/5?

1 Answer
Meave60
Jun 30, 2015

The opposite of #2/5# is #-2/5#.

The reciprocal of #2/5# is #5/2#.

Explanation:

The opposite of a number is its additive inverse, which when added to the original number the result is zero.

#2/5+(-2/5)=0#

The reciprocal of a number is its multiplicative inverse, which when multiplied times the original number the result is one.

#2/5xx5/2=10/10=cancel10^1/cancel10^1=1#

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