Final answer:
A bag of dog food containing 4 2/3 cups will last for 4 full days for a small dog that eats 3/4 of a cup twice a day, after converting the values to improper fractions and performing the division.
Step-by-step explanation:
The question asks how long a bag containing 4 2/3 cups of dog food will last for a small dog that eats 3/4 cup of food twice a day. To solve this, we first calculate the dog's daily food consumption, which is 3/4 cup + 3/4 cup = 1 1/2 cups per day. Next, we divide the total amount of food in the bag by the daily consumption: 4 2/3 cups ÷ 1 1/2 cups/day. To make the division easier, convert the mixed numbers to improper fractions: 14/3 cups ÷ 3/2 cups/day = 28/6 days or 4.67 days.
When rounding down to full days, as partial days can't constitute a full day of food, the bag will last for 4 full days.