Final answer:
A complete sentence needs to have both a subject and a verb and express a complete thought. In the given example, 'The annual barbecue in Maui's barn' is a complete sentence.
Step-by-step explanation:
A complete sentence needs to have both a subject and a verb and express a complete thought. If a sentence is missing any of these components, it is considered a fragment. In the given example, 'The annual barbecue in Maui's barn' is a complete sentence because it has a subject ('barbecue') and a verb ('is'). Therefore, it is not a fragment.