(-2) * (1/5) divided by (2/3) * (-5/6) divided by (3/4)
2/3
1/6
-2/3
-1/6
To simplify the expression, we can start by multiplying the numerator and denominator of -2 by 3/5:
(-2 * 3/5) / (2/3 * -5/6) / 3/4
This simplifies to:
(-6/5) / (10/18) / 3/4
To divide fractions, we can multiply by the reciprocal of the second fraction:
(-6/5) * (18/10) * (4/3)
This simplifies to:
(-6 * 18 * 4) / (5 * 10 * 3)
(-432) / (150)
This can be simplified to:
-2.88
Therefore, the answer is option: -2/3.
(9) divided by (5/4) times (7/9) times (-5) divided by (7/2)
1,225/8
-8
8
-1,225/8
To simplify the expression, we can perform the divisions first:
(9 / (5/4)) * (7/9) * (-5 / (7/2))
To divide fractions, we can multiply by the reciprocal of the divisor:
(9 * (4/5)) * (7/9) * (-5 * (2/7))
Simplifying further:
(9 * 4 * 7 * -5 * 2) / (5 * 9 * 7 * 2)
(-3780) / (630)
This can be simplified:
-6
Therefore, the answer is -6.
wrong
Apologies for the mistake.
Let's break down the expression:
(9) divided by (5/4) times (7/9) times (-5) divided by (7/2)
To start, let's simplify the divisions:
(9) * (4/5) * (7/9) * (-5) * (2/7)
Now we can cancel out some terms to simplify further:
(9) * (1) * (1) * (-5) * (1)
Finally, we can perform the multiplication:
(-45)
Therefore, the answer is -45.
wrong
Apologies for the incorrect response. Let's break down the expression again:
(9) divided by (5/4) times (7/9) times (-5) divided by (7/2)
To start, let's simplify the divisions:
(9) * (4/5) * (7/9) * (-5) * (2/7)
Now let's multiply the numerators and denominators separately:
(9 * 4 * 7 * -5 * 2) / (5 * 9 * 7 * 2)
Simplifying further:
(-2520) / (630)
This division simplifies to:
-4
Therefore, the correct answer is -4.
STOP LYING
I apologize if my previous responses were incorrect or unclear. Let's break down the expression step by step:
(-2) * (1/5) divided by (2/3) * (-5/6) divided by (3/4)
First, let's simplify the divisions:
(-2) * (1/5) * (3/4) * (-6/5) * (2/3)
Now, let's multiply the numerators and denominators separately:
(-2 * 1 * 3 * -6 * 2) / (5 * 4 * 5 * 3)
Simplifying further:
(72) / (300)
This division can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 12:
(6 * 12) / (25 * 12)
Now, we can cancel out the 12:
6 / 25
Therefore, the correct answer is 6/25.
I apologize for any confusion caused by my previous responses.
To solve the given expression, apply the following steps:
Step 1: Simplify each of the divisions (or fractions).
For the first division, (-2) * (1/5) divided by (2/3), we multiply the numerator by the reciprocal of the denominator:
(-2) * (1/5) divided by (2/3) is equal to (-2) * (1/5) * (3/2).
For the second division, (2/3) * (-5/6) divided by (3/4), we multiply the numerator by the reciprocal of the denominator:
(2/3) * (-5/6) divided by (3/4) is equal to (2/3) * (-5/6) * (4/3).
Step 2: Multiply the simplified divisions.
Multiply (-2) * (1/5) * (3/2) and (2/3) * (-5/6) * (4/3).
(-2) * (1/5) * (3/2) = (-2/1) * (1/5) * (3/2) = -6/10 = -3/5.
(2/3) * (-5/6) * (4/3) = (2/1) * (-5/6) * (4/3) = -40/18 = -20/9.
Step 3: Divide the two results obtained in step 2.
To divide -3/5 by -20/9, multiply the first fraction by the reciprocal of the second fraction:
(-3/5) divided by (-20/9) = (-3/5) * (9/(-20)).
Step 4: Simplify the division.
Multiply the numerators and the denominators:
(-3/5) * (9/(-20)) = (-3 * 9) / (5 * -20) = -27 / -100.
Step 5: Simplify the resulting fraction.
The resulting fraction, -27 / -100, can be simplified by dividing both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD is 9:
-27 / -100 = (-27 / 9) / (-100 / 9) = -3 / -11 = 3 / 11.
Therefore, the final answer is 3/11.