Final answer:
The correct division expression to find out how many days the vegetarian's supply of vitamins will last is 3 3/4 ML divided by 3/8 ML. This is represented by choice (d) 3 3/4 ÷ 3/8. Converting the mixed number to an improper fraction and multiplying by the reciprocal gives the number of days the vitamins will last.
Step-by-step explanation:
The question involves determining how many days' worth of vitamins a vegetarian can provide for a baby animal with a given amount of vitamins. The correct division expression that represents this situation is the total amount of vitamins available divided by the daily amount given to the baby animal, which translates to 3 3/4 ML ÷ 3/8 ML. This calculation will yield the number of days the vitamins will last.
To solve this, we convert 3 3/4 to an improper fraction, making it 15/4. Then the division expression becomes 15/4 ML ÷ 3/8 ML. Dividing by a fraction is equivalent to multiplying by its reciprocal, so we multiply 15/4 by the reciprocal of 3/8, which is 8/3. Thus, the calculation becomes (15/4) × (8/3).