Here is the fragment again:

Scooting the dead cockroach under the refrigerator with the toe of his shoe.

You correctly identified the fragment as a participle phrase. Scooting, the present participle that begins the phrase, is the clue.

To fix this fragment, you could add a subject and verb, like this:

Meanwhile, Marc was scooting the dead cockroach under the refrigerator with the toe of his shoe.

Or you could use Punctuation Rule 3:

Main Clause + , + Participle Phrase.

The correction would look like this:

Marc distracted Sharon with the benefits of sharing the small apartment, scooting the dead cockroach under the refrigerator with the toe of his shoe.

Or you could use Punctuation Rule 4:

Participle Phrase + , + Main Clause.

And the correction would look like this:

Scooting the dead cockroach under the refrigerator with the toe of his shoe, Marc distracted Sharon with the benefits of sharing the small apartment.

Enjoy your knight!

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