Respuesta :

Answer:

[tex]\frac{256}{999}[/tex]

Step-by-step explanation:

0.256256256...

Set up two equations:

x = .256256...

1000x = 256.256256...

Subtract them:

1000x = 256.256256... -  x = .256256... =

999x = 256

Solve for x:

999x = 256

x = 256/999

The recurring decimal 0.256 as a fraction in its simplest form is [tex]256 \div 999[/tex]

  • The calculation is as follows:

x = .256256...

1000x = 256.256256...

Subtract them:

1000x = 256.256256... -  x = .256256

999x = 256

So

Here x be the 256 by 999

Learn more: brainly.com/question/16911495