Answer:
The correct answer is A
[tex]0.\bar6[/tex]
Step-by-step explanation:
We want to determine the decimal equivalence of [tex]\frac{2}{3}[/tex].
We perform the long division as shown in the attachment.
Note that in carry out the long division, the denominator which is 3, will be outside the long division sign, while the numerator which is [tex]2[/tex], will be inside the long division sign.
We see that the quotient of our long division is [tex]0.6666...[/tex].
We can rewrite this as [tex]0.\bar6[/tex]
Therefore [tex]\frac{2}{3}=0.\bar6[/tex].
