Final answer:
The least common denominator (LCD) for the fractions 1/6 and 3/8 is 24, since it's the smallest number that both 6 and 8 can divide into evenly without leaving a remainder.
Step-by-step explanation:
To find the least common denominator (LCD) for the fractions 1/6 and 3/8, we need to find the smallest number that both denominators can divide into evenly. The denominators are 6 and 8. The prime factorization of 6 is 2 × 3, and the prime factorization of 8 is 23. To calculate the LCD, we take the highest powers of the prime factors from each number, which are 23 from 8 and 3 from 6. Thus, the LCD is 23 × 3 = 8 × 3 = 24. Therefore, the LCD is 24, which is option b).