Ate the cake is a fragment because there is no subject. To be a complete sentence, it must have a subject and a verb. You would need to change it to, I ate the cake, or She ate the cake, or so on.
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It's a compound sentence, with two independent clauses connected by the conjunction "and."
Fragment.
A fragment sentence is a partial sentence. It does not have everything it needs to be a full sentence. For example: "The dog" is a fragment.
sentences
No, you need someone to eat it. EX: She ate the cake.
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He was scornful that she ate all the cake
I ate cake previous to ice cream.
The predicate in a sentence typically includes the verb and any accompanying words that describe the action. For example, in the sentence "She ate a delicious cake," "ate a delicious cake" is the predicate because it includes the verb "ate" and the object "a delicious cake" that completes the action.
It's a compound sentence, with two independent clauses connected by the conjunction "and."
We ate lots of cake, and afterwards we went home.
There was peace when he ate his piece of 🎂(cake).
Do you work? is a complete sentence; it is not a sentence fragment.
fragment
"She wave." is fragment but "She waves" is a sentence.
Fragment.