Final answer:
The product of the fractions 2/3 and 4/8 is 1/3 after simplifying the fraction 8/24 using the greatest common factor, which is 8. Therefore, the answers are C) 1/3 for Part A and D) 8 for Part B.
Step-by-step explanation:
Part A of the question asks to solve 2/3 × 4/8. To find the product of these two fractions, you multiply the numerators together and the denominators together. Thus, you have (2 × 4) in the numerator and (3 × 8) in the denominator, resulting in 8/24. This fraction can be simplified by dividing both the numerator and the denominator by the greatest common factor, which is 8 in this case. This simplification yields 1/3, which makes the answer to Part A option C.
Part B asks for the greatest common factor (GCF) used to simplify the answer from Part A. The GCF between 8 and 24 is indeed 8, which means the answer to Part B is option D.