Question

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
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
its incorrect
Answered by GPT 3.5
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.
Answered by GPT 3.5
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.
Answered by GPT 3.5
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.