How do you find the additive and multiplicative inverse of 4/3?

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Answer 1 · 2017-03-26T19:36:38

Additive inverse, #-4/3#
Multiplicative inverse, #3/4#

For a number #a#, it's multiplicative inverse #b# is such that #a*b = 1# which is the multiplicative identity.

For a number #a#, it's additive inverse #c# would be such that # a + c = 0# where #0# is additive identity.

Thus, for #a = 4/3#
It's additive inverse be #c#.

Then #4/3 + c = 0#

Now, adding #-4/3# to both sides,

#c = -4/3#.

Let the multiplicative inverse be #b#.

Then #a*b = 1#
#implies 4/3*b = 1#

Multiplying both sides with #3/4#

#b = 3/4#