use the properties of operations and rules for multiplying and dividing to slove: (-2) x (1/5) divided (2/3) x (-5/6) divided (3/4)

Answer 1

To solve the expression (-2) × (1/5) ÷ (2/3) × (-5/6) ÷ (3/4), let's break it down step by step using the properties of operations and rules for multiplying and dividing:

First, let's simplify the multiplication first:
(-2) × (1/5) = -2/5
(2/3) × (-5/6) = -10/18 = -5/9

Now, let's simplify the division:
-2/5 ÷ -5/9

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. The reciprocal of -5/9 is -9/5:

(-2/5) × (-9/5) = 18/25

Lastly, let's divide by (3/4):
18/25 ÷ 3/4

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. The reciprocal of 3/4 is 4/3:

(18/25) × (4/3) = 72/75

Now, let's simplify the fraction 72/75:
Both 72 and 75 can be divided by 3:
72/3 ÷ 75/3 = 24/25

So the final answer is 24/25.

Answer 2

choose one of the answer i gave u

Answer 3

Apologies for the confusion. Let's use the first answer you provided:

(-2) × (1/5) ÷ (2/3) × (-5/6) ÷ (3/4)

First, let's simplify the multiplication first:
(-2) × (1/5) = -2/5
(2/3) × (-5/6) = -10/18 = -5/9

Now, let's simplify the division:
-2/5 ÷ -5/9

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. The reciprocal of -5/9 is -9/5:

(-2/5) × (-9/5) = 18/25

Finally, let's divide by (3/4):
18/25 ÷ 3/4

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. The reciprocal of 3/4 is 4/3:

(18/25) × (4/3) = 72/75

Now, let's simplify the fraction 72/75:
Both 72 and 75 can be divided by 3:
72/3 ÷ 75/3 = 24/25

So the final answer is 24/25.