I wash every piece of fabric I buy in warm water (yeah, I know the label probably says COLD, but if it's going to shrink or fade, I want that to happen BEFORE I put it into a quilt.)
and before I put the fabric in the dryer, I grab those pesky frayed threads,
and pull until they break.
I keep a cheap pair of scissors near the washing machine so I can cut threads that are too tightly wound. Then I shake out the fabric so it won't dry crumpled, and toss it in the dryer.
The threads go in a small wastebasket I have nearby.
Easy peasy lemon squeezy. There's not much you can do about the raw edges of fabric fraying when you wash them, but you don't have to get yourself all worked up about it. If you want to whine and moan and swear and get all frustrated about it, well go right ahead. I'm old enough to have learned that life can be as happy or as miserable as you choose to make it and I just don't have time to waste by letting a piece of fabric get the better of me.