Final answer:
To use the Distributive Property to find the product of 1/4 × 2 2/7, convert the mixed number to an improper fraction, then multiply the numerators and denominators accordingly. After simplification, the answer is 1/4.
Step-by-step explanation:
To find the product using the Distributive Property, we look at the equation 1/4 × 2 2/7. First, we must convert the mixed number to an improper fraction. Since 2 2/7 is equal to 16/7 when converted, our equation now is 1/4 × 16/7. To use the Distributive Property, we multiply the top numbers (numerators) of both fractions and divide by the bottom numbers (denominators).
Performing the multiplication: (1 × 16) / (4 × 7) equals 16/28. To simplify, both 16 and 28 can be divided by 4, resulting in an answer of 1/4 after simplification.