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

Answer 1

To solve this expression, we can follow the order of operations (PEMDAS) and apply the properties of operations, rules for multiplying and dividing:

(-2) x (1/5) ÷ (2/3) x (-5/6) ÷ (3/4)

First, let's simplify the expression in the parentheses:

(-2) x (1/5) = -2/5

Next, let's simplify the division:

-2/5 ÷ (2/3) = -2/5 x (3/2) = (-2 x 3) / (5 x 2) = -6/10 = -3/5

Finally, let's simplify the last division:

-3/5 x (-5/6) ÷ (3/4) = (-3/5) x (5/6) x (4/3) = (-3 x 5 x 4) / (5 x 6 x 3) = -60/90 = -2/3

Therefore, (-2) x (1/5) ÷ (2/3) x (-5/6) ÷ (3/4) simplifies to -2/3.

Answer 2

Use the properties of operations and rules for multiplying and dividing to solve
(9) ÷ (5/4) x (7/9) x (-5) ÷ (7/2)

Answer 3

To solve this expression, we can follow the order of operations (PEMDAS) and apply the properties of operations, rules for multiplying, and dividing:

(9) ÷ (5/4) x (7/9) x (-5) ÷ (7/2)

First, let's simplify the division:

9 ÷ (5/4) = 9 x (4/5) = (9 x 4) / 5 = 36/5

Next, let's multiply:

(36/5) x (7/9) x (-5) ÷ (7/2) = (36/5) x (7/9) x (-5) x (2/7)

Now, let's simplify the expression:

(36/5) x (7/9) x (-5) x (2/7) = (36 x 7 x 2 x (-5))/(5 x 9 x 7) = (-5040)/(315) = -16

Therefore, (9) ÷ (5/4) x (7/9) x (-5) ÷ (7/2) simplifies to -16.