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)

2/3

1/6

-1/6

-2/3

Answer 1

To solve this expression, we start by simplifying 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) = 15/30 = 1/2
1/2 ÷ (3/4) = (1/2) × (4/3) = 4/6 = 2/3

Therefore, the final answer is 2/3.