(-2) x (1/5) / (2/3) x (-5/6 / (3/4)
To simplify the given expression, we follow the order of operations, which is parentheses, exponents, multiplication and division (from left to right), and finally addition and subtraction (from left to right).
First, we simplify the expression inside the parentheses:
(-2) x (1/5) / (2/3) x (-5/6 / (3/4))
= -2 x 1/5 / 2/3 x (-5/6 / 3/4)
= -2 x 1/5 / 2/3 x (-5/6 x 4/3)
= -2 x 1/5 / 2/3 x (-20/18)
= -2 x 1/5 / 2/3 x (-10/9)
Next, we perform the divisions:
= -2 / 5 x 3/2 x (-10/9)
= -2 x 3/5 x (-10/9)
= -6/5 x (-10/9)
Now, we multiply the fractions:
= (-6 x -10) / (5 x 9)
= 60 / 45
Finally, we simplify the fraction:
= 4/3
Therefore, (-2) x (1/5) / (2/3) x (-5/6 / (3/4)) simplifies to 4/3.
That's incorrect my options are 2/3 1/6 -1/6 -2/3
Apologies for the mistake. Let's redo the simplification:
(-2) x (1/5) / (2/3) x (-5/6 / (3/4))
= -2 x 1/5 / 2/3 x (-5/6 x 4/3)
= -2 x 1/5 / 2/3 x (-20/18)
= (-2/1) x (1/5) x (3/2) x (-18/20)
= (-2 x 1 x 3 x -18) / (1 x 5 x 2 x 20)
= (36) / (200)
= 9/50
Therefore, (-2) x (1/5) / (2/3) x (-5/6 / (3/4)) simplifies to 9/50.
That still isn't one of my awnsers my options to(-2) x (1/5) / (2/3) x (-5/6 / (3/4)
is 2/3 1/6 -1/6 -2/3
Apologies for the confusion. Let's simplify the expression correctly:
(-2) x (1/5) / (2/3) x (-5/6 / (3/4))
= (-2) x (1/5) x (3/2) x (4/3) x (-6/5)
= (-2 x 1 x 3 x 4 x -6) / (5 x 2 x 3 x 5)
= 144/150
= 12/12
= 1
Therefore, (-2) x (1/5) / (2/3) x (-5/6 / (3/4)) simplifies to 1.
THATS STILL NOT THE ANSWER IT NEEDS TO BE ONE OF THESE 2/3 1/6 -1/6 -2/3
Apologies for the confusion. Let's re-evaluate the expression correctly:
(-2) x (1/5) / (2/3) x (-5/6 / (3/4))
To simplify this expression, we'll proceed step by step:
1. Multiply (-2) by (1/5):
= (-2/1) * (1/5)
= -2/5
2. Divide (-2/5) by (2/3):
= (-2/5) / (2/3)
To divide fractions, we multiply by the reciprocal of the divisor:
= (-2/5) * (3/2)
= (-2*3) / (5*2)
= -6/10
= -3/5
3. Now, we divide (-5/6) by (3/4):
= (-5/6) / (3/4)
To divide fractions, we multiply by the reciprocal of the divisor:
= (-5/6) * (4/3)
= (-5*4) / (6*3)
= -20/18
= -10/9
4. Finally, we multiply (-3/5) by (-10/9):
= (-3/5) * (-10/9)
= (3*10) / (5*9)
= 30/45
= 2/3
Therefore, the simplification of (-2) x (1/5) / (2/3) x (-5/6 / (3/4)) is equal to 2/3.
okay what is (9) / (5/4) x (7/9) x (-5) / (7/2)
To simplify the given expression, we can follow the order of operations:
(9) / (5/4) x (7/9) x (-5) / (7/2)
First, let's simplify within the parentheses:
(9) / (5/4) = 9 x (4/5) = 36/5
Second, we substitute this value back into the expression:
(36/5) x (7/9) x (-5) / (7/2)
Next, we multiply the fractions:
(36/5) x (7/9) = (36 x 7) / (5 x 9) = 252/45
Now, we divide the remaining fractions:
(252/45) x (-5) / (7/2) = (252/45) x (-5) x (2/7)
Multiplying these fractions together:
(252 x -5 x 2) / (45 x 7) = (-2520/315) = -8
Therefore, (9) / (5/4) x (7/9) x (-5) / (7/2) simplifies to -8.
To solve this expression, let's break it down step by step:
Step 1: Simplify the numerator of the fraction:
(-2) x (1/5) = -2/5
Step 2: Simplify the denominator of the fraction:
(2/3) x (-5/6) = (2 x -5) / (3 x 6) = -10 / 18
Step 3: Simplify the fraction within the fraction:
(-10/18) / (3/4) = (-10/18) x (4/3)
Step 4: Multiply the fractions:
(-10/18) x (4/3) = (-10 x 4) / (18 x 3) = -40 / 54
Now let's simplify the result by finding the greatest common divisor (GCD) of the numerator and denominator:
The GCD of 40 and 54 is 2.
Dividing both the numerator and denominator of -40/54 by 2 gives:
(-40/2) / (54/2) = -20/27
So, the final answer is -20/27.