(−2)×(1/5)÷(2/3)×(−56)÷(3/4)
(1 point)
Responses
−1/6
negative Start Fraction 1 over 6 End Fraction
2/3
Start Fraction 2 over 3 End Fraction
1/6
Start Fraction 1 over 6 End Fraction
−2/3
negative Start Fraction 2 over 3 End Fraction
out of all theses answers what is the correct one
The correct answer is 2/3.
To solve the expression (−2)×(1/5)÷(2/3)×(−56)÷(3/4), follow these steps:
Step 1: Multiply -2 and 1/5: (-2) × (1/5) = -2/5
Step 2: Divide the result from step 1 by 2/3: (-2/5) ÷ (2/3) = (-2/5) × (3/2) = -6/10 = -3/5
Step 3: Multiply the result from step 2 by -56: (-3/5) × (-56) = 168/5
Step 4: Divide the result from step 3 by 3/4: (168/5) ÷ (3/4) = (168/5) × (4/3) = 672/15 = 44.8 (rounded to one decimal place)
Therefore, the correct answer is 44.8.