Other forms: raggedest; raggeder
Something that's ragged is starting to fall apart. When your favorite sweater is getting ragged, it's so worn that the sleeves are fraying.
You'll often see ragged describing clothing or a person's tendency to dress in torn, ratty clothes. Your grandmother might talk about the ragged little boy in her neighborhood, who always wears a dirty t-shirt and jeans with holes in the knees. You might put on your comfortable sweatpants only to realize they've gotten a little ragged, frayed around the waistband.