Final answer:
E. aerogenes belongs to the family Enterobacteriaceae, which is a large family of gram-negative bacteria that can ferment carbohydrates. Coliforms, like Escherichia coli, can ferment lactose completely, while noncoliforms cannot or can only ferment it incompletely.
Step-by-step explanation:
E. aerogenes belongs to the family Enterobacteriaceae. Enterobacteriaceae is a large family of gram-negative bacteria that are facultative anaerobes and able to ferment carbohydrates.
Within this family, there are two distinct categories: coliforms and noncoliforms.
Coliforms, like Escherichia coli, can ferment lactose completely, while noncoliforms either cannot ferment lactose or can only ferment it incompletely.