What is the multiplicative inverse of - 5 / 8

-8/5 is the answer

Answer: b=-8/5

Step-by-step explanation:

Additive inverse,

5

8

Multiplicative inverse,

-

8

5

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

=

-

5

8

It's additive inverse be

c

.

Then

-

5

8

+

c

=

0

Now, adding

5

8

to both sides,

c

=

5

8

.

Let the multiplicative inverse be

b

.

Then

a

⋅

b

=

1

⇒

-

5

8

⋅

b

=

1

Multiplying both sides with

-

8

5