Final answer:
To find the product of (1/4) × (2 2/7) using the Distributive Property, convert the mixed number 2 2/7 to an improper fraction, multiply the two fractions, and simplify the result.
Step-by-step explanation:
To find the product of (1/4) × (2 2/7) using the Distributive Property, you can first convert the mixed number 2 2/7 to an improper fraction. This can be done by multiplying the whole number part (2) by the denominator (7) and adding the numerator (2), then putting that sum over the denominator. In this case, it would be (2 × 7 + 2) / 7 = 16/7. Now, you can multiply the two fractions: (1/4) × (16/7) = (1 × 16) / (4 × 7) = 16/28. Finally, simplify the fraction 16/28 to get the answer: 4/7. So, the correct choice is D. 4/7.