Final answer:
The least common denominator for 3/8, 3/4, and 1/6 is 24. The fractions rewritten using the LCD are 9/24, 18/24, and 4/24 respectively.
Step-by-step explanation:
The least common denominator (LCD) for the fractions 3/8, 3/4, and 1/6 is needed to rewrite them with a common denominator. The denominators are 8, 4, and 6 respectively. To find the LCD, we look for the least common multiple (LCM) of these numbers. Since the LCM of 8 and 4 is 8, and the LCM of 8 and 6 is 24, the LCD of the fractions is 24.
To rewrite the fractions with the LCD, we multiply the numerator and denominator of each fraction by a number that makes the denominator equal to 24. For 3/8, we multiply by 3/3 to get 9/24. For 3/4, we multiply by 6/6 to get 18/24. Finally, for 1/6, we multiply by 4/4 to get 4/24.