Final answer:
Options A) 11/4, B) 23/8, and C) 17/4 are in the lowest terms, as they cannot be simplified further. Option D) 22/8 is not in lowest terms because it can be reduced to 11/4.
Step-by-step explanation:
The question asks which of the given options is in lowest terms as a ratio of two integers. To be in lowest terms, a ratio must have no common factors in the numerator and the denominator aside from 1. Let's examine each option:
- A) 11/4 - This fraction is already in lowest terms because 11 and 4 have no common factors.
- B) 23/8 - This fraction is also in lowest terms as 23 is a prime number and cannot be reduced further with 8.
- C) 17/4 - Similar to option A, this fraction is in lowest terms because 17 is prime and shares no common factors with 4.
- D) 22/8 - This fraction is not in lowest terms. Both 22 and 8 can be divided by 2, so the fraction can be reduced to 11/4.
Therefore, the options A), B), and C) are already in lowest terms. However, D) can be simplified and is not in the lowest terms. The answer is therefore A), B), or C).