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

1 answer

To solve this expression, let's simplify each operation step-by-step:

Step 1: Multiply -4 and 7/5.
(-4) × (7/5) = -28/5

Step 2: Multiply the result from step 1 (-28/5) and -3/4.
(-28/5) × (-3/4) = 84/20 or 21/5

Step 3: Divide the result from step 2 (21/5) by 7/15.
(21/5) ÷ (7/15) = (21/5) × (15/7) = 3/1 or simply 3

So, (-4)×(7/5)×(−3/4)÷(7/15) = 3.