Here's how to find it:
1. Identify the subject: Who or what is the sentence about?
2. Ask "What does the subject do or be?" The answer is the simple predicate.
Example:
* The cat chased the mouse.
* Subject: The cat
* Simple Predicate: chased (the verb)
More examples:
* She is singing beautifully. (Simple predicate: is singing)
* The leaves have fallen from the tree. (Simple predicate: have fallen)
* He will be going to the store. (Simple predicate: will be going)
Let me know if you want to practice with more examples!