Final answer:
The product of 3 and 4 1/5 is calculated by first converting the mixed number to an improper fraction (21/5), multiplying it by 3 to get 63/5, which equals 12 3/5, not available in the given choices.
Step-by-step explanation:
To find the product of 3 and 4 1/5 using the distributive property, first convert the mixed number 4 1/5 into an improper fraction. Recall that 4 1/5 can be expressed as (4 × 5 + 1)/5, which is 21/5. Now, multiply 3 by the improper fraction:
3 × (21/5) = (3 × 21) / 5
= 63 / 5
= 12 3/5 or 12.6
Thus, the product of 3 and 4 1/5 is 12 3/5, which is not listed in the options provided. Therefore, the correct answer is not available in the choices a) 12, b) 13, c) 14 1/5, or d) 15.