Final answer:
The simplest form of the expression 3/2(2/30 + 47120) does not match any of the multiple-choice options given. After simplification, the result is 70634, which suggests that there may be a typo in the original question.
Step-by-step explanation:
The expression given is 3/2(2/30 + 47120). To simplify the expression, follow the order of operations: first, simplify the parentheses by adding 2/30 and 47120, and then multiply the result by 3/2.
Adding 2/30 to 47120:
47120 is the same as 47120/1. To add this to 2/30, find a common denominator. The lowest common denominator is 30, so you rewrite 47120/1 as (47120×30)/30 which is 1413600/30. Now add 2/30 to get 1413602/30.
Multiplying by 3/2:
(1413602/30) × (3/2) = 4234806/60
When you simplify 4234806/60, you get 70634, which is not an option provided in the multiple-choice answers. Therefore, it looks like there may be a mistake or typo in the problem as written. The simplest form of the expression does not match any of the options (a) 235/12, (b) 3/2, (c) 7065, or (d) 0 as provided.