Use the properties of operations and rules for multiplying and dividing signed numbers to solve: (−4)×(7/5)×(−3/4)÷(7/15)

a. 147/75
b. 9
c. -147/75
d. -9

1 answer

To solve this expression, we can use the properties of operations and rules for multiplying and dividing signed numbers.

(-4) × (7/5) × (-3/4) ÷ (7/15)

First, we can simplify the multiplication:

= (-4) × (-3/4) × (7/5) ÷ (7/15)
= (12/4) × (7/5) ÷ (7/15)
= (3) × (7/5) ÷ (7/15)
= (21/5) ÷ (7/15)

Next, we can simplify division by multiplying by the reciprocal of the divisor:

= (21/5) × (15/7)
= (3 * 7) / (1 * 5)
= 21/5

Therefore, the answer is a. 147/75.