Use the properties of operations and rules for multiplying and dividing to solve the following problem

3/8×(-32)÷(-3)×1/8
A. 1/2
B. 9/2048
C. 9/2
D. 96/192

1 answer

To solve this problem, we can follow the order of operations, which is parentheses, exponentiation, multiplication and division (from left to right), and addition and subtraction (from left to right).

First, let's simplify within the parentheses:

(-32) ÷ (-3) = 32/3

Now, let's multiply and divide from left to right:

3/8 × 32/3 × 1/8 = (3 × 32 × 1) / (8 × 3 × 8)
= 96 / 192

Finally, we can simplify the fraction:

96 / 192 = 1/2

Therefore, the answer is A. 1/2.