Use the properties of operations and rules for multiplying and dividing to solve: (-3) / (3/4) x (2/70 x (-5/16) / (5/7)

Answer 1

To solve this problem, we will simplify the expression step by step using the properties of operations and rules for multiplying and dividing.

First, let's start with the expression (-3) / (3/4):

(-3) / (3/4) = (-3) * (4/3)

Next, let's simplify the expression (2/70 x (-5/16)):

(2/70 x (-5/16)) = (2 x (-5)) / (70 x 16) = -10 / 1120

Now, let's simplify the expression (-10/1120) / (5/7):

(-10/1120) / (5/7) = (-10/1120) * (7/5)

Now, let's combine the simplified expressions:

(-3) * (4/3) * (-10/1120) * (7/5)

Next, let's multiply the numerators and denominators together:

(-3 * 4 * (-10) * 7) / (3 * 1120 * 5)

Now, let's simplify the numbers:

(840) / (16800)

Finally, let's divide to get the simplified answer:

840 / 16800 = 1/20

Therefore, the simplified answer to the expression is 1/20.

Answer 2

Use the properties of operations and rules for multiplying and dividing to solve: (-3) / (3/4) x (2/7) x (-5/16) / (5/7)

Answer 3

To solve this problem, we will simplify the expression step by step using the properties of operations and rules for multiplying and dividing.

First, let's simplify the expression (-3) / (3/4):

(-3) / (3/4) = (-3) * (4/3)

Next, let's multiply the expression by (2/7):

(-3) * (4/3) * (2/7) = (-3 * 4 * 2) / (3 * 7)

Simplifying the expression further, we get:

(-24) / 21

Now, let's simplify the expression (-24/21) * (-5/16):

((-24)/21) * (-5/16) = (-24 * (-5)) / (21 * 16) = 120 / 336

The expression can be simplified even more by dividing:

120 / 336 = 5 / 14

Now, let's finally multiply the expression by (5/7):

(5/14) * (5/7) = (5 * 5) / (14 * 7) = 25 / 98

Therefore, the simplified answer to the expression is 25/98.

Answer 4

its incorrect

Answer 5

Apologies for the mistake. Let's go through the steps again:

(-3) / (3/4) x (2/7) x (-5/16) / (5/7)

First, let's simplify the expression (-3) / (3/4):

(-3) / (3/4) becomes (-3) x (4/3) = -12/3 = -4

Next, let's multiply this result by (2/7):

-4 x (2/7) = -8/7

Then, let's multiply by (-5/16):

(-8/7) x (-5/16) = 40/112 = 5/14

Finally, let's divide by (5/7):

(5/14) / (5/7) = (5/14) x (7/5) = 35/70 = 1/2

Therefore, the simplified answer to the expression is 1/2.