Question

What is the multiplicative inverse of -5 2/3

Answer 1

Solution:

$-5\frac{2}{3}$

$\frac{-17}{3}$

Now , multiplicative inverse will be $\frac{-3}{17}$

What is Multiplicative Inverse?

Multiplicative Inverse can also be said as reciprocal. Like if n is the number its reciprocal will be 1/n or vice versa.

And , also if take out the product of the  number and its multiplicative inverse it will be 1.

Examples:-

5 ==> 1/5

1/6 ==> 6

2/5 ==> 5/2

-17/3 ==> -3/17

Answer 2

Given:

⁻ ⁵$\frac{2}{3}$

To find:

the multiplicative inverse of ⁻⁵$\frac{2}{3}$.

Solution:

1) The given number is in the mixed form so will change into the improper form.

2) the improper form of the ⁻⁵$\frac{2}{3}$ is -17/3.

3)  A multiplicative inverse is reciprocal for a number x, denoted by 1/x , it is a number which when multiplied by the number x yields the multiplicative identity that is 1.

4) The multiplicative inverse of a fraction a/b is b/.

we get,

Multiplicative inverse of -17/3 is -3/17