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

1 answer

To solve this problem, start by simplifying the expression given.

(-4) x (7/5) x (-3/4) divided by (7/15)

Step 1: Multiply the numerators together and the denominators together:
(-4 x 7 x -3) / (5 x 4) / (7/15)

Step 2: Multiply the numbers:
(-84) / (20) / (7/15)

Step 3: Divide by the reciprocal of the fraction in the denominator:
(-84) / (20) x (15/7)

Step 4: Simplify the expression further:
-84 x 15 / 20 x 7

Step 5: Multiply the numerators and denominators:
-1260 / 140

Step 6: Simplify the fraction:
-9

Therefore, the solution is C. -9.