Here is the item again:

While Dr. Kinser bounced down the stairs (A) and strode through the hallway. (B) A brightly colored tie streamed over his shoulder, (C) flapping in his wake.

You correctly realized that the period after hallway created a fragment. While Dr. Kinser bounced down the stairs ... is a subordinate clause, so it cannot stand alone as a complete sentence.

To fix this fragment, you chose to do this:

While Dr. Kinser bounced down the stairs and strode through the hallway, a brightly colored tie streamed over his shoulder, flapping in his wake.

You have correctly employed Punctuation Rule 2:

Subordinate Clause + , + Main Clause.

Play that music!

Go to the next sentence.

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