Use the properties of operations and rules for multiplying and dividing to solve: (-3) / (3/4) x (2/70 x (-5/16) / (5/7)
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.
Use the properties of operations and rules for multiplying and dividing to solve: (-3) / (3/4) x (2/7) x (-5/16) / (5/7)
its incorrect
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.
To solve the expression (-3) / (3/4) x (2/70 x (-5/16) / (5/7), we can follow the order of operations (also known as PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)). Let's break down the expression step by step:
Step 1: Simplify inside the parentheses
(-3) / (3/4) x (2/70 x (-5/16) / (5/7)
(-3) / (3/4) x (-5/560) / (5/7)
Step 2: Simplify the division inside the parentheses
(-3) x (4/3) x (-5/560) / (5/7)
-12/3 x (-5/560) / (5/7)
Step 3: Simplify the multiplication from left to right
-4 x (-5/560) / (5/7)
Step 4: Simplify the multiplication
20/560 / (5/7)
Step 5: Simplify the division
20/560 x (7/5)
Step 6: Simplify the multiplication
(20 x 7) / (560 x 5)
140 / 2800
Step 7: Simplify the division
140 divided by 2800 is equal to 1/20
Therefore, (-3) / (3/4) x (2/70 x (-5/16) / (5/7)) simplifies to 1/20.
To solve this expression, we can simplify it step by step using the properties of operations and rules for multiplying and dividing.
Step 1: Start by simplifying the expression inside the parentheses first.
We have:
(-3) / (3/4) x (2/70 x (-5/16) / (5/7)
Inside the parentheses, we have:
2/70 x (-5/16)
To multiply fractions, we multiply the numerators together and the denominators together. Thus:
2/70 x (-5/16) = (2 x -5) / (70 x 16) = -10 / 1120
So, substituting this result back into the original expression, we have:
(-3) / (3/4) x (-10 / 1120) / (5/7)
Step 2: Now let's simplify the expression (3/4) x (-10 / 1120).
To multiply fractions, we multiply the numerators together and the denominators together:
(3/4) x (-10 / 1120) = (3 x -10) / (4 x 1120) = -30 / 4480
Substituting this result back into the expression, we have:
(-3) / (-30 / 4480) x (5/7)
Step 3: Next, simplify the expression (-3) / (-30 / 4480).
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
(-3) / (-30 / 4480) = (-3) x (4480 / -30) = (-3 x 4480) / (-30) = 13440 / -30
Substituting this result back into the expression, we have:
13440 / -30 x (5/7)
Step 4: Now let's simplify the expression 13440 / -30.
We divide the numerator by the denominator:
13440 / -30 = -448
Substituting this result back into the expression, we have:
-448 x (5/7)
Step 5: Finally, let's simplify the expression -448 x (5/7).
To multiply a number by a fraction, we multiply the number by the numerator and divide by the denominator:
-448 x (5/7) = (-448 x 5) / 7 = -2240 / 7 = -320
Therefore, the final result of the expression (-3) / (3/4) x (2/70 x (-5/16) / (5/7) is -320.
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.