Final answer:
Using the Distributive Property, 12 • 3 3/4 can be calculated by first converting 3 3/4 to an improper fraction, then multiplying and dividing as required to find the final answer, which is 45.
Step-by-step explanation:
To find 12 • 3 3/4 using the Distributive Property, we can think of the expression as 12 multiplied by the sum of 3 and 3/4.
12 • 3 3/4 = 12 • (3 + 3/4)
Using the Distributive Property, we distribute the 12 to both the 3 and the 3/4, and then perform the respective multiplications:
12 • (3 + 3/4) = 12 • 3 + 12 • 3/4
Simplifying further, we have:
36 + 9 = 45
Therefore, 12 • 3 3/4 = 45.