Here is the item again:

Searching travel websites (A) to compare room and flight rates, (B) Shaquita fantasized about a spring break vacation to Hawaii. (C) As her unfinished algebra homework lay ignored on her desk.

You correctly realized that the period after Hawaii created a fragment. As her unfinished algebra homework lay ignored ... is a subordinate clause, so it cannot stand alone as a complete sentence.

To fix this fragment, you chose to do this:

Searching travel websites to compare room and flight rates, Shaquita fantasized about a spring break vacation to Hawaii as her unfinished algebra homework lay ignored on her desk.

You have correctly employed Punctuation Rule 1:

Main Clause + Ø + Subordinate Clause.

Rock on!

Go to the next sentence.

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