Final answer:
The product of 12/3 and 31/2 is 62, which is not in fractional form and does not match any of the provided options. There may have been a typo in the problem as it stands since 62 should be the answer to the multiplication given.
Step-by-step explanation:
To multiply and express the fraction 12/3 by 31/2 in lowest terms, we have to perform the multiplication and then simplify, if necessary. Multiplying the numerators (top numbers) together and the denominators (bottom numbers) together gives us:
(12 × 31) / (3 × 2)
(372) / (6)
62 / 1, which simply equals 62
So, when simplified, the product is 62, not in fractional form and therefore does not match any of the provided options. It looks like there was a mistake or typo in the problem. If the problem was intended to be 12/3 × 31/2 the correct answer would indeed be 62, if the number was instead 1/3 × 31/2 then the answer would match one of the provided options, specifically 31/6, but none of the given options are correct for the numbers provided in the question.