Final answer:
To determine if 6/4 and 8/12 are proportionate, simplify the fractions and check if they are equal. Since 3/2 and 2/3 are not equal, the fractions are not proportionate.
Step-by-step explanation:
To determine if 6/4 and 8/12 are proportionate, we need to simplify the fractions and check if they are equal.
First, simplify 6/4 by dividing the numerator and denominator by their greatest common divisor, which is 2. So, 6/4 simplifies to 3/2.
Next, simplify 8/12. Again, divide both the numerator and denominator by their greatest common divisor, which is 4. So, 8/12 simplifies to 2/3.
Since 3/2 and 2/3 are not equal, the fractions are not proportionate. Therefore, the answer is b) No.