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

Question

(-4)x(7/5)x(-3/4)*(7/15)

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

Answer 1

To solve this problem, we can simplify the expression step by step using the rules for multiplying and dividing signed numbers.

First, let's simplify (-4) x (7/5) x (-3/4) x (7/15):

Negative numbers multiplied by positive numbers give negative numbers. Therefore, (-4) x (7/5) = -28/5.

Multiply -28/5 by (-3/4):

When we multiply fractions, we simply multiply the numerators and the denominators.

Therefore, -28/5 x (-3/4) = (28 x 3) / (5 x 4) = 84/20.

Finally, multiply 84/20 by 7/15:

To multiply fractions, we multiply the numerators and the denominators.

(84/20) x (7/15) = (84 x 7) / (20 x 15) = 588/300.

We can simplify 588/300 by dividing both the numerator and denominator by their greatest common divisor, which in this case is 12.

588/300 = (588/12) / (300/12) = 49/25.

Therefore, the simplified expression is 49/25.

The correct answer is: c. 147/75.