Question

Which fraction represents the decimal 0.8888...?

Answer 1

Answer: The decimal 0.88888.... represented by the fraction $\dfrac{8}{9}$

Step-by-step 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

$10x-x=8.\bar{8}-0.\bar{8}\\\\9x=8\\\\x=\dfrac{8}{9}$

Hence, the decimal 0.88888.... represented by the fraction $\dfrac{8}{9}$

Answer 2

Answer:

8/9

Step-by-step explanation:

none