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

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

1 answer

To solve the expression, we need to simplify step by step using the properties of operations.

First, we can simplify the multiplication of the signed numbers: (-4) × (-3) = 12 because the product of two negative numbers is positive.

Next, we can simplify the multiplication of the fractions: (7/5) × (7/15) = 49/75 because multiplying two fractions is done by multiplying the numerators together and the denominators together.

Finally, we can simplify the division by multiplying by the reciprocal of the fraction: 12 ÷ (49/75) = 12 × (75/49).

To multiply fractions, multiply the numerators together and the denominators together: 12 × 75 = 900, 49.

Therefore, the final answer is 900/49 or 18 36/49.

D.) 147/75 is the correct answer.