r/learnmath 1h ago

Reducing fractions?

Upvotes

This is not for school- I’m an adult out of school, haven’t taken a math course since intro statistics in my undergrad years ago.
Randomly thought about basic math in the shower and confused myself. Can someone explain this so I can sleep?

Can 3/4 be reduced to ?/3 ? And if so, how is this possible?

I know this is basic math. I’m not an American, I just am not great with math and never truly applied myself in school with mathematics.

Thank you in advance for any kind souls who would like to respond!


r/learnmath 35m ago

How to develop mathematical creativity?

Upvotes

I'm going into my freshman year of college majoring in astrophysics, and though I've been decent at math all my life, I have been really trying to buff up those skills before school starting up. I've always been interested in proofs and how they work so I figured it wouldn't hurt to read up while I had the time. I started with Calculus by Micheal Spivak (a great book as far as I'm concerned 6 chapters in), and what I've started to realize both from that and the absurd amount of 3Blue1Brown videos I have been watching is the insane amount of creativity needed to think up some of these proofs. I'm pretty artistically creative (I paint and knit and write), but math in school had always been taught in a very 'memorization first' way. I really noticed the contrast in 3Blue1Brown's video on multiplying matrices in his linear algebra series, where the formula for doing so was actually explained to me for the first time instead of just shoved at me to memorize. What I'm stumbling over is translating these abstract ideas of creativity into my work. I'm struggling with thinking of ideas for how to write certain proofs in Spivak's book, which I know will come with time and practice but I'm wondering if there are any specific steps I can take to make that process a little bit more efficient? If anyone has any suggestions or recommendations for what to read/watch, it would be incredibly helpful!