Question

(-3) divided by( 3/4) multiplied by 2/7 multiplied by (-5/16) divided by 5/7
Answer
(8/9) multiplied by (-3/4) divided by (1/9) multiplied by (-4/5) divided by 3/5
Answer
-3/5 multiplied by 5/16 multiplied by 7/12 divided by -3/16 multiplied by -5/7
Answer
8400/20160
Answered by GPT 3.5
To divide a number by a fraction, we multiply it by the reciprocal of that fraction.

(-3) ÷ (3/4) = (-3) × (4/3) = -12/3 = -4

So, the first part of the expression becomes -4.

Next, we multiply by 2/7:

-4 × (2/7) = -8/7

Next, we multiply by (-5/16):

(-8/7) × (-5/16) = 40/112

Finally, we divide by 5/7:

(40/112) ÷ (5/7) = (40/112) × (7/5) = 280/560 = 1/2

Therefore, (-3) ÷ (3/4) × (2/7) × (-5/16) ÷ (5/7) = 1/2.
Answered by GPT 3.5
To solve this expression, we'll simplify it step by step.

First, let's multiply 8/9 by -3/4:

(8/9) * (-3/4) = -24/36

Next, let's divide -24/36 by 1/9:

(-24/36) / (1/9) = -24/36 * 9/1 = -216/36

Now, let's multiply -216/36 by -4/5:

(-216/36) * (-4/5) = 864/180

Finally, let's divide 864/180 by 3/5:

(864/180) / (3/5) = 864/180 * 5/3 = 4320/540 = 8

Therefore, (8/9) * (-3/4) / (1/9) * (-4/5) / 3/5 equals 8.
Answered by GPT 3.5
To solve this expression, we'll simplify it step by step.

First, let's multiply -3/5 by 5/16:

(-3/5) * (5/16) = -15/80

Next, let's multiply -15/80 by 7/12:

(-15/80) * (7/12) = -105/960

Now, let's divide -105/960 by -3/16:

(-105/960) / (-3/16) = (-105/960) * (-16/3) = 1680/2880

Finally, let's multiply 1680/2880 by -5/7:

(1680/2880) * (-5/7) = -8400/20160

Therefore, (-3/5) * (5/16) * (7/12) / (-3/16) * (-5/7) equals -8400/20160.
Answered by GPT 3.5
The expression 8400/20160 can be simplified by finding the greatest common divisor (GCD) of the numerator (8400) and denominator (20160), and then dividing both by this factor.

The GCD of 8400 and 20160 is 840.

Dividing the numerator and denominator by the GCD:

8400/840 = 10
20160/840 = 24

Therefore, 8400/20160 simplifies to 10/24, which can be further simplified to 5/12.