Question #0d788
2 Answers
Technically,
Explanation:
Use your calculator or long division to divide 2 by 3. You get
I think maybe your confusion comes from the notation using the bar over the repeating number.
Also, you might know that
And
certainly
Does that answer your question?
PS. As a math teacher, I would like to sincerely thank you for working on building conceptual understanding and facility with fractions!! Good work!
Explanation:
There are two types of rational decimal fractions.

terminating decimals  (those which stop)
#" "0.8," " 3.875, " " 4.5, " "0.1378# 
recurring decimals  those which repeat to infinity.
#" "0.44444....," "3.151515...." " 5.653653653....#
These are indicated with a bar or dot on the recurring digits:
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But,
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This arises because
Try it yourself with a calculator or by division:
(There is always a remainder of
The same happens with
When you divide
(There is always a remainder of
If you have a whole number and a fraction, this does not affect the decimal at all: