Use the properties of operations and rules for multiplying and dividing to solve:
(−3)÷(3/4)×(2/7)×(−5/16)÷(5/7)
To solve this expression, we will follow the order of operations (PEMDAS) and apply the properties of operations and rules for multiplying and dividing.
First, let's simplify the expressions inside the brackets:
-3 ÷ (3/4) × (2/7) × (-5/16) ÷ (5/7)
Since division is equivalent to multiplying by the reciprocal, we can rewrite the expression as:
-3 × (4/3) × (2/7) × (-5/16) × (7/5)
Now, let's multiply the numbers using the multiplication property of operations:
= -3 × 4/3 × 2/7 × -5/16 × 7/5
Next, we can simplify each fraction by canceling out common factors:
= (-3 × 4 × 2 × -5 × 7) / (3 × 7 × 16 × 5)
Now, we can multiply and divide the remaining numbers:
= -840 / 1680
Since -840 and 1680 have a common factor of 840, we can simplify the fraction:
= -1/2
Therefore, the value of (-3)÷(3/4)×(2/7)×(−5/16)÷(5/7) equals -1/2.
Are you right
I apologize for the mistake in my previous response. Let's correct it.
To solve the expression (-3) ÷ (3/4) × (2/7) × (-5/16) ÷ (5/7), we will follow the order of operations (PEMDAS) and apply the properties of operations and rules for multiplying and dividing.
First, let's simplify the expressions inside the brackets:
-3 ÷ (3/4) × (2/7) × (-5/16) ÷ (5/7)
Since division is equivalent to multiplying by the reciprocal, we can rewrite the expression as:
-3 × (4/3) × (2/7) × (-5/16) × (7/5)
Now, let's multiply the fractions together:
= -3 × 4/3 × 2/7 × -5/16 × 7/5
Next, we can simplify each fraction by canceling out common factors:
= (-3 × 2 × -5) / (3 × 7 × 16)
Now, let's calculate the numerator:
= (-6 × -5) / (3 × 7 × 16)
= 30 / (3 × 7 × 16)
Now, let's calculate the denominator:
= 30 / 336
= 5/56
Therefore, the value of (-3)÷(3/4)×(2/7)×(−5/16)÷(5/7) is 5/56.
Is either one correct
Apologies for the confusion. Upon reviewing your question, I made an error in my previous responses. Let's solve the expression again correctly.
To solve (-3) ÷ (3/4) × (2/7) × (-5/16) ÷ (5/7), we will follow the order of operations (PEMDAS) and apply the properties of operations and rules for multiplying and dividing.
First, let's simplify the expression inside the brackets:
-3 ÷ (3/4) × (2/7) × (-5/16) ÷ (5/7)
Since division is equivalent to multiplying by the reciprocal, we can rewrite the expression as:
-3 × (4/3) × (2/7) × (-5/16) × (7/5)
Now, let's multiply the numerators together and the denominators together:
= (-3 × 4 × 2 × -5 × 7) / (3 × 7 × 16 × 5)
Next, we can simplify the numerator and denominator by canceling out common factors:
= (-840) / (3360)
= -1/4
Therefore, the value of (-3)÷(3/4)×(2/7)×(−5/16)÷(5/7) is -1/4.
Are you sure that correct
Apologies for the confusion. Let's solve the expression again correctly.
To solve (-3) ÷ (3/4) × (2/7) × (-5/16) ÷ (5/7), we will follow the order of operations (PEMDAS) and apply the properties of operations and rules for multiplying and dividing.
First, let's simplify the expression inside the brackets:
-3 ÷ (3/4) × (2/7) × (-5/16) ÷ (5/7)
Since division is equivalent to multiplying by the reciprocal, we can rewrite the expression as:
-3 × (4/3) × (2/7) × (-5/16) × (7/5)
Now, let's multiply the numerators together and the denominators together:
= (-3 × 4 × 2 × -5 × 7) / (3 × 7 × 16 × 5)
Next, we can simplify the multiplication:
= (-840) / (3360)
Now, let's simplify the fraction:
= -1/4
Therefore, the value of (-3)÷(3/4)×(2/7)×(−5/16)÷(5/7) is -1/4.
That not right
Apologies for the confusion. Let's solve the expression again correctly.
To solve (-3) ÷ (3/4) × (2/7) × (-5/16) ÷ (5/7), we will follow the order of operations (PEMDAS) and apply the properties of operations and rules for multiplying and dividing.
First, let's simplify the expression inside the brackets:
(-3) ÷ (3/4) = (-3) × (4/3) = -12/3 = -4
Now, let's rewrite the expression with this simplified form:
-4 × (2/7) × (-5/16) ÷ (5/7)
Next, let's perform the multiplication and division from left to right:
-4 × (2/7) = (-4) × (2/7) = -8/7
Next, let's multiply the result by (-5/16):
(-8/7) × (-5/16) = (8/7) × (5/16) = 40/112
Finally, let's divide the result by (5/7):
(40/112) ÷ (5/7) = (40/112) × (7/5) = (40 × 7) / (112 × 5) = 280/560 = 1/2
Therefore, the value of (-3) ÷ (3/4) × (2/7) × (-5/16) ÷ (5/7) is 1/2.
To solve the expression (−3) ÷ (3/4) × (2/7) × (−5/16) ÷ (5/7), we can follow the order of operations, also known as "PEMDAS" or "BODMAS". This stands for parentheses, exponents, multiplication and division (left to right), and addition and subtraction (left to right).
Step 1: Simplify within parentheses
(−3) ÷ (3/4) can be rewritten as (−3) × (4/3). Since division is the same as multiplying by the reciprocal, we can invert the denominator (3/4) to (4/3).
The expression now becomes:
(−3) × (4/3) × (2/7) × (−5/16) ÷ (5/7)
Step 2: Simplify multiplication and division from left to right
Multiply the numbers together, following the properties of multiplication:
(−3) × (4/3) = −12/3 = −4
The expression now becomes:
(−4) × (2/7) × (−5/16) ÷ (5/7)
Next, multiply the remaining numbers together:
(−4) × (2/7) × (−5/16) = (-4 * 2 * -5) / (7 * 16)
Multiply the numerator and the denominator separately:
-40 / 1120
Finally, divide the numerator by the denominator:
-40 ÷ 1120 = -1/28
Therefore, the simplified expression is -1/28.