Final answer:
After subtracting the sugar Kim has (1 1/3 cups) from the total amount needed (2 3/4 cups), we find she needs an additional 1 5/12 cups of sugar. This calculation does not match any of the provided answer choices, suggesting a possible error in the question's options.
Step-by-step explanation:
To determine how much more sugar Kim needs to bake her batch of cookies, we need to subtract the amount she already has from the total amount required. She needs 2 3/4 cups of sugar but only has 1 1/3 cups. Using common denominators to subtract these fractions, we convert 2 3/4 to 11/4 and 1 1/3 to 4/3:
- (11/4) - (4/3) = (33/12) - (16/12) = 17/12
- 17/12 simplifies to 1 5/12.
However, this isn't one of the answer choices provided, indicating there may have been an error. Let’s try again to match one of the provided options:
- 2 3/4 = 11/4
- 1 1/3 = 4/3
- To find the difference: (11/4) - (4/3)
- Get a common denominator: (33/12) - (16/12) = 17/12
- Simplify the result: 17/12 is the same as 1 5/12, which is not listed.
- But if we reassess using mixed numbers: 1 1/3 = 1 + 1/3 = 4/3 and 2 3/4 = 2 + 3/4 = 11/4.
- Subtract again: (11/4) - (4/3) = (33/12) - (16/12) = 17/12
- Expressed as a mixed number: 17/12 = 1 5/12, which is not one of the options provided.
It appears there may be confusion either with the question's provided answers or with the original amount of sugar. We should double-check our calculations. Upon checking the subtraction again, we find our result of 1 5/12 is correct, which still does not correspond to any of the provided multiple choice answers. Hence, none of the choices a. 1 1/12, b. 1 1/6, c. 1 2/5, and d. 1 1/4 is correct.