Use the properties of operations and rules for multiplying and dividing to solve:

(−2) × (1/5) ÷ (2/3) × (−5/6) ÷ (3/4) =
possible ones are.
-2/3
-1/6
2/3
1/6

1 answer

To solve this expression, we can follow the order of operations, which is to perform operations inside parentheses first, then multiplication and division from left to right.

Starting with the expression:
(−2) × (1/5) ÷ (2/3) × (−5/6) ÷ (3/4)

First, let's simplify the multiplication and division of fractions:

1/5 × -5/6 = -5/30 = -1/6 (numerator multiplied by numerator and denominator multiplied by denominator)
2/3 ÷ 3/4 = 8/9 (numerator multiplied by reciprocal of denominator)

Now, we can simplify the remaining operations:

-2 × -1/6 × 8/9 = 2/3 (multiplied numerators and denominators)

Therefore, the solution is 2/3.