Question

Why is |a/b| = a/b not always true?

Answer 1

The absolute value of a number is always positive.
|6| = 6
|-6| = 6
Let's say a = 50 and b = -5
50/(-5) = -10
|50/(-5)| = 10
These two are not equal.
50/5 = 10
|50/5| = 10
These two are indeed equal.
This is why |a/b| = a/b is not always true.

Answer 2

Oh, I see. Thank you.