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

Question

9252 views around the world

You can reuse this answer
Creative Commons License

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 $3/4$

$b = 3/4$