Chap.1 - wait...HOLY. IT'S MATH
Hermione was a simple girl, she had no friends, didn't know two things about romance, and really loved reading.
She lived a simple routine too, she'll go to school, waste her 6 hours per day there, go to the library, get a book and go home, obviously this is simplified but being a lone child with busy parents becomes boring.
But like any other student, Hermione hates math, not the subject itself but the proffesor, "proffesor, can you please retell the solution to this problem?" "well you should've listened more intently ms.Granger", she did listen intently, it was just very messy and she didn't capture what they were saying because they would quickly move on and it wasn't her fault that she can't jolt down every notes fast enough because she is practically racing with the proffesors eraser.
But! Hermione herself knows enough math and can get it right with just one reading, and she is aware that math can be fun! She remembers the Indian guy on the internet explaining the basics of algebra and she got it all down to the brim and even found it enjoyable.
But god forbid did her professors suck. They are the only reasons why she gets along with her classmates because they would ask her for the solution while complaining how much their math teachers suck to which they all agreed on, it soon became a game to all of them on who could stay awake the longest without doing anything on math class, Hermione and a few kids won this game but she too would sucumb to sleep when the teacher won't stop talking about their preffered method of solving this specific problem that she is sure will only show up at their exam.
Then poof Hogwarts came around, she was mesmerized by the fact that there is a whole world filled with impossible things, new things to learn! Hermione thought, everything is going to be fun! Hermione expected, No.
Well not completely
You see, when Hermione opened the letter she expected to learn wizards and witches things, which is yes true, she does learn things that are not normal on her "muggle" world.
But then, as Hermione and some ravenclaw students were in the library she had a realization while she was jotting down notes from the arithimancy lesson she had earlier
Math...HOLY SHIT THE WIZARDING WORLD HAS MATH AND THE TEACHER IS ACTUALLY GOOD AT TEACHING!
She didn't know she was crying until Penelope Clearwater of all people placed her hand on Hermione's shoulder and said "I know you're thinking about math, that's my first realization too, I know. It's awesome. Purebloods don't get it." She said with a whining tone, her fellow ravenclaws were confused with their conversation but payed it no mind.
Penelope and Hermione became friends that day
"It was awesome."
-Hermione Granger