Final answer:
The LCD of 1/2 and 2/17 is found by multiplying the two denominators, as they have no common factors, which gives us 34, making option a the correct answer.
Step-by-step explanation:
The LCD or Least Common Denominator of two fractions is the smallest number that both denominators can divide into without leaving a remainder. To find the LCD of 1/2 and 2/17, we need to determine the smallest number that is a multiple of both 2 and 17.
Since 17 is a prime number and does not have any common factors with 2, the LCD can be found by simply multiplying the two denominators together. Therefore, the LCD of 1/2 and 2/17 is:
2 × 17 = 34.
So, the correct answer is a. 34.