Use the properties of operations and rules for multiplying and dividing signed numbers to solve:
(−4)×(7/5)×(−3/4)÷(7/15)
(1 point)
Responses
−14775
negative Start Fraction 147 over 75 End Fraction
14775
Start Fraction 147 over 75 End Fraction
9
9
−9
To solve this problem, we can follow the order of operations:
First, let's simplify the expression inside the parentheses:
(−4) × (7/5) × (−3/4) ÷ (7/15)
The multiplication and division can be performed from left to right:
= (−4) × (7/5) × (−3/4) ÷ (7/15)
= (−4 × 7/5) × (−3/4) ÷ (7/15)
= (−28/5) × (−3/4) ÷ (7/15)
Next, let's multiply the numbers:
= (−28/5) × (−3/4) ÷ (7/15)
= 84/20 ÷ 7/15
To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction:
= (84/20) * (15/7)
= 1260/140
= 9
Therefore, the answer is 9.
Hi, can I have someone who can help me with the Force and Motion Unit Test please. This is Question3: Drag and drop the vocabulary word with it's matching definition. (8 points)
help
To solve the expression, we can follow these steps:
Step 1: Apply the properties of operations for multiplication and division. Multiply and divide the numbers from left to right.
Step 2: Multiply -4 by 7/5
(-4) × (7/5) = -28/5
Step 3: Multiply -28/5 by -3/4
(-28/5) × (-3/4) = 84/20 = 21/5
Step 4: Divide 21/5 by 7/15
(21/5) ÷ (7/15) = (21/5) × (15/7) = 315/35 = 9
Therefore, the answer is 9.
To solve the expression (−4)×(7/5)×(−3/4)÷(7/15), we can follow the order of operations, which states that we should perform multiplication and division from left to right before addition and subtraction.
Step 1: Multiply -4 by 7/5:
-4 × 7/5 = -28/5
Step 2: Multiply -28/5 by -3/4:
-28/5 × -3/4 = 84/20 = 21/5
Step 3: Divide 21/5 by 7/15:
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
21/5 ÷ 7/15 = 21/5 × 15/7 = 315/35 = 9
Therefore, the answer is 9.