Use the properties of operations and rules for multiplying and dividing to solve:
(−2)×(1/5)÷(2/3)×(−5/6)÷(3/4)
(1 point)
Responses
−1/6
−2/3
1/6
2/3
To solve this expression, we need to follow the order of operations, which is parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right).
(-2) × (1/5) ÷ (2/3) × (-5/6) ÷ (3/4)
First, we simplify the multiplication and division from left to right:
(-2) × (1/5) = -2/5
-2/5 ÷ (2/3) = (-2/5) × (3/2) = -6/10 = -3/5
-3/5 × (-5/6) = (3/5) × (5/6) = 15/30 = 1/2
Finally, we simplify the remaining division:
1/2 ÷ (3/4) = (1/2) × (4/3) = 4/6 = 2/3
Therefore, the answer is 2/3.
u positive?
Apologies for the confusion. Let's go through the steps again:
(-2) × (1/5) ÷ (2/3) × (-5/6) ÷ (3/4)
First, we simplify the multiplication and division from left to right:
(-2) × (1/5) = -2/5
-2/5 ÷ (2/3) = (-2/5) ÷ (2/3) = (-2/5) × (3/2) = -6/10 = -3/5
-3/5 × (-5/6) = (3/5) × (5/6) = 15/30 = 1/2
Finally, we simplify the remaining division:
1/2 ÷ (3/4) = (1/2) ÷ (3/4) = (1/2) × (4/3) = 4/6 = 2/3
Therefore, the answer is indeed 2/3. I apologize for the mistake in my previous response.
Multiply & Divide Rational Numbers Quick Check
2 of 52 of 5 Items
Question
Use the properties of operations and rules for multiplying and dividing to solve:
(9)÷(5/4)×(7/9)×(−5)÷(7/2)
(1 point)
Responses
8
1,225/8
−8
−1,225/8
To solve this expression, we need to follow the order of operations, which is parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right).
(9) ÷ (5/4) × (7/9) × (-5) ÷ (7/2)
First, we simplify the division:
(9) ÷ (5/4) = (9) × (4/5) = 36/5
Now, we simplify the multiplication from left to right:
36/5 × (7/9) = (36/5) × (7/9) = 252/45 = 28/5
Finally, we simplify the remaining multiplication:
28/5 × (-5) = (28/5) × (-5) = -140/5 = -28
Therefore, the answer is -28.
using commutative property thats the answer?
Apologies for the confusion. Let's go through the steps again:
(9) ÷ (5/4) × (7/9) × (-5) ÷ (7/2)
First, we simplify the division:
(9) ÷ (5/4) = (9) × (4/5) = 36/5
Now, we simplify the multiplication from left to right:
36/5 × (7/9) = (36/5) × (7/9) = (36 × 7) / (5 × 9) = 252/45
Next, we simplify the remaining division:
252/45 × (-5) = (252/45) × (-5) = -1260/45
Finally, we simplify the fraction:
-1260/45 simplifies to -28/1
Therefore, the answer is -28.