Final answer:
To find the amount of parsley in the soup, we multiply 2/5 by the total spice mixture of 2 3/4 tablespoons, converted to 11/4. Calculating this, we get 22/20 tablespoons, which simplifies to 1 1/10 tablespoons of parsley.
Step-by-step explanation:
To find the amount of parsley in the spice mixture used in the soup, we must first determine the total amount of the spice mixture and then calculate the portion that is made up of parsley. The chef has put 2 3/4 tablespoons of the spice mixture into the soup. Parsley accounts for 2/5 of this mixture.
Firstly, we convert the mixed fraction into an improper fraction:
- 2 3/4 = (2 × 4 + 3) / 4 = 11/4 tablespoons
Then, we find 2/5 of the total amount:
- (2/5) × (11/4) = 22/20 tablespoons
Upon simplifying this fraction:
- 22/20 = 1 1/10 tablespoons
Therefore, the amount of parsley in the soup is 1 1/10 tablespoons, which can also be written as 1 2/20 or 1 1/5 tablespoons. However, this answer isn't listed in the options provided by the student, which suggests there might be an error in the options or the question. Double-check with the student if the amount of parsley is 2/5 or the total spice mixture amount.