Final answer:
Alice spent a total of 61/20 hours on her science project, as calculated by converting each time spent to a common denominator and adding them up. None of the provided answer choices match this correct answer, indicating a potential error in the question.
Step-by-step explanation:
Alice is doing a project for her science class, and she spends 3/2 hours collecting data, 3/4 hour analyzing her data, and 4/5 hour creating a poster with her results. To find the total number of hours she spent working on her science project, we need to add up these three fractions:
- 3/2 hours for collecting data
- 3/4 hours for analyzing data
- 4/5 hours for creating the poster
To add these fractions, they must have a common denominator. The least common denominator for 2, 4, and 5 is 20. We convert each fraction to an equivalent fraction with a denominator of 20:
- 3/2 = 30/20
- 3/4 = 15/20
- 4/5 = 16/20
Adding these equivalent fractions gives us:
30/20 + 15/20 + 16/20 = 61/20
The total time spent is 61/20 hours, which is not one of the answer choices provided. This seems to be a typographical error in the question, as the correct answer should be 61/20 hours, not one of the given options (A) 37/20 hours, (B) 39/20 hours, (C) 23/20 hours, or (D) 29/20 hours.