Question

Use the properties of operations and rules for multiplying and dividing to solve: (−2)×(1/5)÷(2/3)×(−5/6)÷(3/4)
1. 1/6

2. 2/3

3. −2/3

4. −1/6

Answer 1

To solve this expression, we can simplify step by step:

(-2) × (1/5) ÷ (2/3) × (-5/6) ÷ (3/4)

First, we multiply the first two fractions:
(-2) × (1/5) = -2/5

Next, we divide the result by the next fraction:
(-2/5) ÷ (2/3) = (-2/5) × (3/2) = (-6/10) = -3/5

Next, we multiply the result by the next fraction:
(-3/5) × (-5/6) = (3/5) × (5/6) = (3/6) = 1/2

Finally, we divide the result by the last fraction:
(1/2) ÷ (3/4) = (1/2) × (4/3) = (4/6) = 2/3

Therefore, the simplified result is 2/3. The correct option is 2.