For "noisy quarrel":
* Brawl: This implies a physical fight, with lots of noise and commotion.
* Row: This is a general term for a noisy argument, often involving strong emotions.
* Squabble: This suggests a smaller, less intense argument, but still noisy.
For "become ragged":
* Frayed: This describes something that has become worn and threadbare, losing its original smooth texture.
* Tattered: This is similar to "frayed" but implies more extensive damage, with pieces of fabric missing.
* Shredded: This suggests something has been torn to pieces, leaving only fragments.
Combining the two:
It's difficult to find one word that covers both meanings. You could use a phrase like:
* A noisy row that left the relationship tattered.
* The brawl ended with both parties frayed and bruised.
* Their squabble shredded their friendship.
The best choice depends on the context of your sentence and the specific meaning you want to convey.