Final answer:
To rewrite 3/4 and 1/6 with the same denominator, we find the least common denominator (LCD) which is 12. Multiplying the numerators and denominators by the necessary factors, we get 3/4 = 9/12 and 1/6 = 2/12 respectively.
Step-by-step explanation:
To rewrite 3/4 and 1/6 with the same denominator using the LCD (Least Common Denominator), we need to find the smallest multiple that both denominators, 4 and 6, have in common. The LCD in this case is 12.
a) To rewrite 3/4 with a denominator of 12, we multiply both the numerator and denominator by 3: 3/4 = 9/12.
b) To rewrite 1/6 with a denominator of 12, we multiply both the numerator and denominator by 2: 1/6 = 2/12.