use the properties of operations and rules for multiplying and dividing to slove: (-2) x (1/5) divided (2/3) x (-5/6) divided (3/4)
To solve the expression (-2) × (1/5) ÷ (2/3) × (-5/6) ÷ (3/4), let's break it down step by step using the properties of operations and rules for multiplying and dividing:
First, let's simplify the multiplication first:
(-2) × (1/5) = -2/5
(2/3) × (-5/6) = -10/18 = -5/9
Now, let's simplify the division:
-2/5 ÷ -5/9
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. The reciprocal of -5/9 is -9/5:
(-2/5) × (-9/5) = 18/25
Lastly, let's divide by (3/4):
18/25 ÷ 3/4
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. The reciprocal of 3/4 is 4/3:
(18/25) × (4/3) = 72/75
Now, let's simplify the fraction 72/75:
Both 72 and 75 can be divided by 3:
72/3 ÷ 75/3 = 24/25
So the final answer is 24/25.
choose one of the answer i gave u
Apologies for the confusion. Let's use the first answer you provided:
(-2) × (1/5) ÷ (2/3) × (-5/6) ÷ (3/4)
First, let's simplify the multiplication first:
(-2) × (1/5) = -2/5
(2/3) × (-5/6) = -10/18 = -5/9
Now, let's simplify the division:
-2/5 ÷ -5/9
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. The reciprocal of -5/9 is -9/5:
(-2/5) × (-9/5) = 18/25
Finally, let's divide by (3/4):
18/25 ÷ 3/4
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. The reciprocal of 3/4 is 4/3:
(18/25) × (4/3) = 72/75
Now, let's simplify the fraction 72/75:
Both 72 and 75 can be divided by 3:
72/3 ÷ 75/3 = 24/25
So the final answer is 24/25.
To solve the expression (-2) x (1/5) ÷ (2/3) x (-5/6) ÷ (3/4), we'll follow the order of operations, which states that we should solve the multiplication and division from left to right before proceeding to addition and subtraction.
Step 1: Simplify the multiplication of the first two fractions:
(-2) x (1/5) = -2/5
Step 2: Simplify the division of the next two fractions:
(-2/5) ÷ (2/3) = (-2/5) x (3/2) = -6/10 = -3/5
Step 3: Simplify the division of the last two fractions:
(-3/5) ÷ (3/4) = (-3/5) x (4/3) = -12/15 = -4/5
Therefore, (-2) x (1/5) ÷ (2/3) x (-5/6) ÷ (3/4) simplifies to -4/5.
To solve the expression (-2) x (1/5) ÷ (2/3) x (-5/6) ÷ (3/4), we can use the properties of operations and rules for multiplying and dividing.
Step 1: Start with the multiplication operation.
-2 x (1/5) ÷ (2/3) x (-5/6) ÷ (3/4)
Step 2: Multiply the numbers from left to right.
Multiply -2 by 1/5:
(-2) * (1/5) = -2/5
Step 3: Divide the result by the next number.
(-2/5) ÷ (2/3) = (-2/5) * (3/2)
To divide, we can flip the second fraction and multiply:
(-2/5) * (3/2) = (-2/5) * (3/2) = (-2 * 3) / (5 * 2) = -6/10
Step 4: Continue with the remaining multiplication and division.
(-6/10) ÷ (-5/6) = (-6/10) * (-6/5)
To divide by a fraction, we can flip it and multiply:
(-6/10) * (-6/5) = (-6/10) * (6/-5) = (-6 * 6) / (10 * 5) = 36/-50
Step 5: Simplify the result if possible.
The numerator and denominator share a common divisor of 2. Divide both by 2:
36/-50 = 18/-25
So, the simplified result of (-2) x (1/5) ÷ (2/3) x (-5/6) ÷ (3/4) is 18/-25, or -18/25.