LogFAQs > #962602213

The thing that really made simplifying fractions "make sense" for me was learning to split a number up into prime factors. Once you know about prime factors, you can just divide both the top and bottom by any of their common factors one at a time.

Here are some examples of how:
https://www.math.net/prime-factorization
https://media.geeksforgeeks.org/wp-content/uploads/6-min-1.png

You can just try each prime number in sequence (2,3,5,7,11 etc). Anything that appears in both the numerator and the denominator can be divided out. Then do it again until they have no factors in common and you can tell when you've finished simplifying!