I have a hard time with making sentence fragments into complete sentences. Using this example-To get to the hospital quickly.

Answer 1

If you were trying to "cut and paste" it rarely works here. You will need to type it all out.

Taking your example, and expanding on it:
To get to the hospital quickly, we had to go as fast as possible, not speeding.

A com plete sentence must have a subject (either stated or understood) and a verb. Note that in the partial/fragment, there is no conjugated verb.

Sra

Answer 2

The car broke the speed limit - to get to the hospital quickly.

You need a subject and a verb to make that a complete sentence.