(-3) divided by( 3/4) multiplied by 2/7 multiplied by (-5/16) divided by 5/7
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.
(8/9) multiplied by (-3/4) divided by (1/9) multiplied by (-4/5) divided by 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.
-3/5 multiplied by 5/16 multiplied by 7/12 divided by -3/16 multiplied by -5/7
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.
8400/20160
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.