The simplest way to get rid of fleas on a cat
Method 1: Use a flea comb to remove fleas and flea droppings from the cat's body.
Using a fine-toothed comb, lift the fur from head to tail with your hands, searching for fleas and flea droppings bit by bit. If there are blue particles on the flea, it is likely a flea.
Method 2: Use a flea collar for cats.
This method is simple and practical; it can both prevent and protect cats from fleas. 
Method 3: Use deworming medication or deworming solution.
The flea and tick medication is quite convenient to use; simply apply the liquid to the cat's back. Using it in conjunction with a flea comb will enhance the effect.
Method 4: Give the cat a bath.
Bathing your cat is one of the most effective ways to get rid of fleas, and there are flea-repelling shampoos on the market that are simple, practical, and effective.
It's best to use warm water for bathing your cat, as it will make them feel comfortable, and fleas can die if the temperature is too high.