Which answer correctly identifies the adjective phrase and the word it modifies in this sentence?

My favorite book is tattered and fragile because I have read it many times.

A. The phrase "many times" modifies the word read.

B. The phrase "because I have" modifies the word tattered.

C. The phrase "tattered and fragile" modifies the word book.

D. The phrase "favorite book" modifies the word My.

C would be the answer since its adjective right?