* "Fray" needs an article: You need to use "the" or "a" before "edges."
* Verb tense: "Fraying" is the present continuous tense of "fray." It's more accurate to say "Mona is fraying" or "Mona is fraying the edges."
Here are some corrected versions:
* Mona is fraying the edges of the batik.
* Mona is fraying the edges of a batik.
Let me know if you have any other sentences you'd like to check!