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

(-4) x (7/5) x (- 3/4) divided by (7/15)
A. -9
B. -147/75
C. 9
D. 147/75

5 answers

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

1. Multiply (-4) x (7/5) x (-3/4):
(-4) x (7/5) x (-3/4) = (-4) x (-21/20) = 21/5.

2. Now, we divide by (7/15) by multiplying by its reciprocal:
(21/5) / (7/15) = (21/5) x (15/7) = 63/1 = 63.

So, the final result is 63. However, since we have negative signs in the expression, the answer is -63.

Therefore, the correct answer is A. -63.
THATS NOT A CHOICE
Apologies for the oversight. Let's review the calculation again.

1. Multiply (-4) x (7/5) x (-3/4):
(-4) x (7/5) x (-3/4) = (-4) x (-21/20) = 21/5.

2. Now, divide by (7/15) by multiplying by its reciprocal:
(21/5) / (7/15) = (21/5) x (15/7) = 63/1 = 63.

So, the final result is 63. However, since we have negative signs in the expression, the answer is -63.

Therefore, the correct answer is not among the given choices.
CHOOSE AN ANSWER THAT IS THE CLOSEST TO THE CORRECT ANSWER
In that case, the answer choice that is closest to the correct answer would be:

B. -147/75

Even though it's not the exact numerical value of -63, it is the closest fraction among the given choices.