Final answer:
Fluffy the bunny ate 1/6 of the carrot at night after subtracting the portion eaten in the morning and the portion left at the end of the day from the whole carrot.
Step-by-step explanation:
Fluffy the bunny ate 1/2 of a carrot in the morning and had 1/3 of the carrot left by the end of the day. To find out how much of the carrot Fluffy ate at night, we need to calculate the difference between what she initially had and what was left. We start with a whole carrot (1) and subtract both the part Fluffy ate in the morning and the part left at the end of the day.
So, we perform 1 - 1/2 - 1/3. To subtract fractions, they must have a common denominator. The common denominator for 2 and 3 is 6, so we convert the fractions:
1 - 3/6 - 2/6 = 6/6 - 3/6 - 2/6 = 1/6
Therefore, Fluffy ate 1/6 of the carrot at night.