Hey there!
Sentence fragments are phrases that cannot stand alone because they do not have both a subject and a predicate (action), or they have both but have a subordinate conjunction beginning them, making it incomplete. Let's find your answers below.
1. For, example, Chinatown. This phrase has a subject here but no predicate.
2. Is a unique community of approximately 14,000 people. This fragment has a predicate but no subject.
3. Have Chinese restaurants, clothing stores, bakeries, banks, bookstores, gift shops, jewelers, markets, beauty salons, and more. There is a predicate but no subject.
4. Because they haven't needed it. Although this has a subject and a predicate, it is still a fragment because of the word because, which makes it a dependent clause.
5. Is possible to get almost any Chinese product or service in Chinatown. This has a predicate but no subject.
6. Without traveling to China. This is just complement but it is not a subject or predicate.
7. If you have a car. This is a dependent clause again because of the word if, even though it has a subject and predicate.
8. Which is neither fast or convenient. Another dependent clause
9. Only buses, and they can take a long time to go anywhere. This is another dependent clause.
10. Because traffic is heavy. Also a dependent clause.
I hope this helps! Have a great day!