Tommy writes -414 as a fraction using the same method he knows for positive mixed numbers. His work is shown:

Multiply the whole number by the denominator: -4⋅4=-16-4·4=-16.
Add the numerator: -16+1=-15-16+1=-15.
Write this number over the original denominator: -414=-154-414=-154.

Does this method work to correctly write -414 as a fraction?