Question

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


2/3


−1/6

Answer 1

To solve this expression, we can follow the order of operations: perform the multiplication and division from left to right.

First, multiply -2 and 1/5:
(-2) × (1/5) = -2/5

Next, divide -2/5 by 2/3:
(-2/5) ÷ (2/3) = (-2/5) × (3/2) = -6/10 = -3/5

Then, multiply -3/5 by -5/6:
(-3/5) × (-5/6) = (3/5) × (5/6) = 15/30 = 1/2

Finally, divide 1/2 by 3/4:
(1/2) ÷ (3/4) = (1/2) × (4/3) = 4/6 = 2/3

Therefore, the solution is 2/3.