Use the properties of operations and rules for multiplying and dividing signed numbers to solve:
(−4)×(7/5)×(−3/4)÷(7/15)
(1 point)
(-4) × (7/5) × (-3/4) ÷ (7/15)
First, let's multiply the numbers together:
(-4) × (7/5) = -28/5
Next, let's multiply the result by (-3/4):
(-28/5) × (-3/4) = 84/20
Finally, let's divide the result by (7/15):
(84/20) ÷ (7/15) = (84/20) × (15/7) = 6
The solution is 6.
To solve the expression (-4) × (7/5) × (-3/4) ÷ (7/15), we can simplify it step by step using the properties of operations and the rules for multiplying and dividing signed numbers.
Step 1: Multiply the first two numbers:
(-4) × (7/5) = -28/5
Step 2: Multiply the previous result by the next number:
(-28/5) × (-3/4) = 84/20 = 21/5
Step 3: Divide the previous result by the last number:
(21/5) ÷ (7/15) = (21/5) × (15/7) = (21 × 15) / (5 × 7) = 315/35 = 9
Therefore, the solution to the expression (-4) × (7/5) × (-3/4) ÷ (7/15) is 9.