# Find the multiplicative inverse of the following: (i) -13, (ii) -13/19, (iii) ⅕, (iv) -⅝ x -3/7, (v) -1 x -⅖, (vi) - 1

By Shivank Goel|Updated : August 5th, 2022

The multiplicative inverse is the reciprocal of a given rational number

The product of a rational number and its multiplicative inverse is 1

(i) -13

The multiplicative inverse of -13 is -1/13

-13 x (-1/13) = 1

(ii) -13/19

The multiplicative inverse of -13/19 is -19/13

-13/19 x -19/13 = 1

(iii) ⅕

The multiplicative inverse of ⅕ is 5

⅕ x 5 = 1

(iv) -⅝ x -3/7

The multiplicative inverse of -⅝ x -3/7 is 56/15

-⅝ x -3/7 = 15/56

15/56 x 56/15 = 1

(v) -1 x -⅖

The multiplicative inverse of -1 x -⅖ is 5/2

-1 x -⅖ = ⅖

⅖ x 5/2 = 1

(vi) - 1

The multiplicative inverse of -1 is -1

-1 x -1 = 1

Therefore, the multiplicative inverse is 1.

Summary:

## (vi) - 1

The multiplicative inverse of the following

(i) -13 is 1

(ii) -13/19 is 1

(iii) ⅕ is 1

(iv) -⅝ x -3/7 is 1

(v) -1 x -⅖ is 1

(vi) - 1 is 1

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