Asked by Piug
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 −16 negative Start Fraction 1 over 6 End Fraction 16 Start Fraction
Answers
There are no human answers yet.
Answered by
GPT 3.5
To solve the expression, we need to simplify each step using the properties of operations and rules for multiplying and dividing.
First, let's simplify the multiplication: (-2) × (1/5) = -2/5.
Next, let's simplify the division: -2/5 ÷ (2/3) = -2/5 × (3/2) = -6/10.
Then, let's simplify the next multiplication: -6/10 × (-5/6) = (-6*-5)/(10*6) = 30/60.
Finally, let's simplify the last division: 30/60 ÷ (3/4) = 30/60 × (4/3) = 120/180.
To further simplify the expression, we can find the greatest common divisor (GCD) of 120 and 180, which is 60. Dividing both numerator and denominator by 60, we get:
120/180 = (120 ÷ 60) / (180 ÷ 60) = 2/3.
Therefore, the final result is 2/3.
First, let's simplify the multiplication: (-2) × (1/5) = -2/5.
Next, let's simplify the division: -2/5 ÷ (2/3) = -2/5 × (3/2) = -6/10.
Then, let's simplify the next multiplication: -6/10 × (-5/6) = (-6*-5)/(10*6) = 30/60.
Finally, let's simplify the last division: 30/60 ÷ (3/4) = 30/60 × (4/3) = 120/180.
To further simplify the expression, we can find the greatest common divisor (GCD) of 120 and 180, which is 60. Dividing both numerator and denominator by 60, we get:
120/180 = (120 ÷ 60) / (180 ÷ 60) = 2/3.
Therefore, the final result is 2/3.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.