What is difference between notations a|b and a/b? I am just a beginner. Can somebody tell me what is the exact difference between these notation, if any?
 $a|b$ and a/b

$$a \mid b \iff b=ak \text{ for some } k\in \Bbb Z$$
This is a true/ false kind of statement.  As in, either $a \mid b$ is true, or it's not (in which case we write $a\not\mid b$).
$$a/b = \frac ab$$
This is just a number.  And not even necessarily an integer.

Here's a cool example of when we can have $a\mid b$ that wouldn't even make sense as a fraction.  The following statement is true: $$0 \mid 0$$ Can you see why?
