use the properties of operations and rules for multiplying and dividing signed numbers to solve:

(-4) x (7/5) x (-3/4) ÷ (7/15)

A. 9
B. 147/75
C. -147/75
D. -9

1 answer

To solve this problem, we will apply the properties of operations and rules for multiplying and dividing signed numbers.

First, let's simplify the expression step by step:

(-4) x (7/5) x (-3/4) ÷ (7/15)

Step 1: Simplify the multiplication.

(-4) x (-3) = 12

Step 2: Simplify the division.

(7/5) ÷ (7/15) = (7/5) x (15/7) = (7 x 15) / (5 x 7) = 105/35

Step 3: Combine the multiplication and division.

12 x (105/35) = 12 x (3/1) = 12 x 3 = 36

Therefore, the solution is 36.

None of the answer choices provide 36 as an option. But we can simplify 36 to get the correct answer:

36 = 36/1

So, the solution is 36/1.

Comparing the answer choices, we can see that:

36/1 = 36/1

Thus, the correct answer is not listed among the given options.