The phrase 'becomes ragged' is often used to describe fabric, clothing or material that has become torn, frayed or uneven. Its antonym, or opposite, would be words or phrases that convey the opposite state of being. Some possible antonyms for 'becomes ragged' include 'remains pristine', 'stays smooth' or 'maintains its original quality'. Other options might include 'retains its shape', 'keeps its edges intact' or 'stays neat and tidy'. Whatever the antonym, it is meant to convey a sense of durability and quality, rather than a state of disrepair or wear and tear.