Question

if 0.666............is 2/3 then the value of 2.666...........is ________​

Answer 1

Answer:

8/3 is the answer of this question

Answer 2

$\huge\underline\mathfrak{\red{✨ANSWER✨}}$

Let me clarify this with an example

1. Suppose there are 3 students A,Band C. The teacher has one chocolate which she has to divide among them in equal parts. So what she will do. She will cut the chocolate in 3 parts so that they are approximately equal because it can't be divided exactly in 3 equal parts.
2. Similarly now consider she has 2 chocolates with her and faces the same problem. Again she will approximately divide the 2 chocolates into 3 equal parts but not exactly.
3. Now suppose if she has 3 chocolates with her, now what she will do. She would simply give one chocolate to each student which leaves one chocolate with every student.

So what has happened in the third case we can divide 3 chocolates in 3 equal parts which results in 1 part per student.

Therefore 3/3=1 not .9999....