Respuesta :

Given:

The number is:

[tex]-(\dfrac{23}{47})[/tex]

To find:

The number that is equivalent to the given number.

Solution:

In option A,

[tex]-(-\dfrac{23}{47})=\dfrac{23}{47}[/tex]            [tex][\because (-)(-)=(+)][/tex]

In option B,

[tex]\dfrac{23}{-47}=-\dfrac{23}{47}[/tex]

In option C,

[tex]\dfrac{-23}{-47}=\dfrac{23}{47}[/tex]

In option D, we have

[tex]\dfrac{23}{47}[/tex]

The numbers in options A, C and D are equivalent to [tex]\dfrac{23}{47}[/tex]. So, options A, C and D are incorrect.

The numbers in options B is equivalent to [tex]-(\dfrac{23}{47})[/tex]. So, option B is correct.

Therefore, the correct option is B.