Question

Reciprocal of additive inverse of 13/28.​

Answer 1

The reciprocal of the additive inverse of 13/28​ is -28/13.

Given:

The fraction 13/28

To find:

Reciprocal of the additive inverse of 13/28.​

Solution:

The additive inverse:

The additive inverse of a number is the number that, when added to the original number, gives a sum of zero. The additive inverse of any fraction 'a/b' is '-a/b'.

Let 'x' be the additive inverse of 13/28

According to the above formula,

=> 13/28 + x = 0  

Now solve the expression for 'x'

=> 13/28 + x = 0  

=> x = 0 - 13/28

In this case, the additive inverse of 13/28 is -13/28.

Here The reciprocal of a fraction is obtained by interchanging the numerator and the denominator.

=> -28/13

Therefore,

The reciprocal of the additive inverse of 13/28​ is -28/13.

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