Question

Write the recurring decimal 0.256 as a fraction in its simplest form

Answer 1

Answer:

$\frac{256}{999}$

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