Use the properties of operations and rules for multiplying and dividing to solve:
(-2) x (1/5) / (2/3) x (-5/6) / (3/4)
To solve this expression, we can use the properties of operations and rules for multiplying and dividing.
First, let's simplify each fraction individually:
(-2) x (1/5) = -2/5
(2/3) x (-5/6) = -10/18 = -5/9
(3/4) = 3/4
Now, let's simplify the entire expression by dividing the fractions:
(-2/5) / (-5/9) / (3/4)
To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction:
(-2/5) x (9/-5) / (3/4)
Simplifying the second fraction:
(-2/5) x (9/-5) = (-2 x 9) / (5 x 5) = -18/25
Now we can divide the fractions:
(-18/25) / (3/4)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
(-18/25) x (4/3) = (-18 x 4) / (25 x 3) = -72/75 = -24/25
Therefore, the solution to (-2) x (1/5) / (2/3) x (-5/6) / (3/4) is -24/25.
Ur wrong.
To solve (-2) x (1/5) / (2/3) x (-5/6) / (3/4), follow the order of operations: parentheses, multiplication, and then division.
First, let's simplify the multiplication.
(-2) x (1/5) = -2/5
Next, let's simplify the division.
(-5/6) / (2/3) = (-5/6) x (3/2)
To multiply fractions, multiply the numerators and multiply the denominators.
(-5/6) x (3/2) = (-5 x 3) / (6 x 2) = -15/12
Now, let's continue simplifying the expression.
(-15/12) / (3/4) = (-15/12) x (4/3)
Again, multiply the numerators and multiply the denominators.
(-15/12) x (4/3) = (-15 x 4) / (12 x 3) = -60/36
Finally, simplify the fraction if possible.
-60/36 can be simplified by dividing both the numerator and denominator by the greatest common divisor, which is 12.
-60/36 = -5/3
Therefore, (-2) x (1/5) / (2/3) x (-5/6) / (3/4) simplifies to -5/3.
To solve the expression (-2) x (1/5) / (2/3) x (-5/6) / (3/4) using the properties of operations and rules for multiplying and dividing, we follow the order of operations (PEMDAS/BODMAS).
Step 1: Simplify the multiplication and division within the expression from left to right.
(-2) x (1/5) = -2/5
(2/3) x (-5/6) = (2 x -5) / (3 x 6) = -10/18
(3/4) = 3/4
Step 2: Simplify the resulting fractions by reducing if possible.
-2/5 is already in its simplest form.
-10/18 can be reduced by dividing both the numerator and denominator by their greatest common divisor, which is 2. So, -10/18 simplifies to -5/9.
Step 3: Combine the simplified fractions using the properties of operations.
(-2/5) / (3/4) = (-2/5) x (4/3) = (-2 x 4) / (5 x 3) = -8/15
Step 4: Simplify the obtained fraction by reducing if possible.
-8/15 is already in its simplest form.
Therefore, the expression (-2) x (1/5) / (2/3) x (-5/6) / (3/4) simplifies to -8/15.