Final answer:
After following the order of operations and performing step-by-step multiplication, the final result is 7.6, which is not one of the provided options. There may be a typo in the original equation or it has been misinterpreted.
Step-by-step explanation:
The multiplication given is: 5(1/2)4(-5)-2.4(4)(1/2)(2/3)(3/4).
Following the order of operations, we first simplify inside the parentheses, then we perform multiplication from left to right:
- First, multiply 5 by 1/2 to get 2.5.
- Next, multiply 2.5 by 4, resulting in 10.
- Multiply the -5 by -2 to get +10, based on the rule that multiplying two negative numbers will give a positive result.
- Now let's look at the second part of the expression 2.4(4)(1/2)(2/3)(3/4).
- Multiply 2.4 by 4 to get 9.6.
- Multiply 9.6 by 1/2, 2/3, and 3/4 sequentially which simplifies to 2.4 again as all the fractions cancel out (1/2 * 2/3 * 3/4 = 1).
- Finally, subtract the second multiplication result from the first: 10 - 2.4 = 7.6, which is not one of the provided options, therefore, we have a typo in the original equation or it has been interpreted incorrectly.