Attempting to find the equivalence class of 5. For $a,b \in \mathbb{R}$ define $a \sim b$ if $a - b \in \mathbb{Z}$
How would you find the equivalence class of 5.
In other words what I'm trying to describe is the set $[5]$ = {$y : 5 \sim y$}. And $[5]$ is just the name of the set.

The answers to your previous question contain a description of the equivalence classes:

$a \sim b$ iff $a$ and $b$ have the same fractional part.

The fractional part of $5$ is $0$. Which other real numbers have zero fractional part?
