Question

Which fraction represents the decimal 0.8888...?

Answer 1

8/9

Explanation:

none

Answer 2

Answer: The decimal 0.88888.... represented by the fraction
`(8)/(9)`

Explanation:

Since we have given that

0.888888....

So, Let x = 0.88888....=
`0.\bar{8}` -----(1)

Now, multiply by 10 on both sides, we get that

`10x=8.8888.....=8.\bar{8}----------(2)`

Now, Subtracting (1) from (2), we get that

`10x-x=8.\bar{8}-0.\bar{8}\\\\9x=8\\\\x=(8)/(9)`

Hence, the decimal 0.88888.... represented by the fraction
`(8)/(9)`