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

1 Answer
Mar 26, 2017

Answer:

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

Explanation:

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#