To solve this expression, we'll follow the order of operations (PEMDAS).
First, let's simplify the expression in the parentheses: (−3)÷(3/4) = -(3)×(4/3) = -(12/3) = -4.
Now let's simplify the expression without parentheses:
-4 × (2/7) × (−5/16) ÷ (5/7).
To multiply fractions, we multiply their numerators together and their denominators together:
(-4 × 2 × -5) / (7 × 16) ÷ (5/7)
Simplifying the multiplication:
(-40) / (112) ÷ (5/7)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
(-40) / (112) × (7/5)
Next, we simplify the multiplication:
(-40 × 7) / (112 × 5)
(-280) / 560
Simplifying the fraction by dividing the numerator and the denominator by the greatest common divisor, which is 40:
-7 / 14
Finally, we can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 7:
-1/2
Therefore, the expression (−3)÷(3/4)×(2/7)×(−5/16)÷(5/7) equals -1/2.
(−3)÷(3/4)×(2/7)×(−5/16)÷(5/7)
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17 answers
are u sure
My apologies for the error in my previous response. Let's recalculate the expression correctly:
(−3) ÷ (3/4) × (2/7) × (−5/16) ÷ (5/7)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
(−3) × (4/3) × (2/7) × (−5/16) × (7/5)
Now, let's simplify the expression:
(-3 × 4 × 2 × -5 × 7) / (3 × 7 × 16 × 5)
=(-3 × 4 × 2 × -5 × 7) / (3 × 7 × 16 × 5)
=(-3 × 4 × -5 × 7) / (3 × 16 × 5)
=(-60 × 7) / (48 × 5)
=(-420) / (240)
=(-7/4)
Therefore, the expression (−3) ÷ (3/4) × (2/7) × (−5/16) ÷ (5/7) equals -7/4.
(−3) ÷ (3/4) × (2/7) × (−5/16) ÷ (5/7)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
(−3) × (4/3) × (2/7) × (−5/16) × (7/5)
Now, let's simplify the expression:
(-3 × 4 × 2 × -5 × 7) / (3 × 7 × 16 × 5)
=(-3 × 4 × 2 × -5 × 7) / (3 × 7 × 16 × 5)
=(-3 × 4 × -5 × 7) / (3 × 16 × 5)
=(-60 × 7) / (48 × 5)
=(-420) / (240)
=(-7/4)
Therefore, the expression (−3) ÷ (3/4) × (2/7) × (−5/16) ÷ (5/7) equals -7/4.
nope
I apologize for the mistake once again. Let's redo the calculation correctly:
(−3) ÷ (3/4) × (2/7) × (−5/16) ÷ (5/7)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
(-3) × (4/3) × (2/7) × (−5/16) × (7/5)
Now, let's simplify the expression:
(-3 × 4 × 2 × -5 × 7) / (3 × 7 × 16 × 5)
=(-3 × 4 × 2 × -5 × 7) / (3 × 7 × 16 × 5)
=(-3 × 4 × -5 × 7) / (3 × 16 × 5)
=(-60 × 7) / (48 × 5)
=(-420) / (240)
=(-7/4)
Therefore, the expression (−3) ÷ (3/4) × (2/7) × (−5/16) ÷ (5/7) equals -7/4.
(−3) ÷ (3/4) × (2/7) × (−5/16) ÷ (5/7)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
(-3) × (4/3) × (2/7) × (−5/16) × (7/5)
Now, let's simplify the expression:
(-3 × 4 × 2 × -5 × 7) / (3 × 7 × 16 × 5)
=(-3 × 4 × 2 × -5 × 7) / (3 × 7 × 16 × 5)
=(-3 × 4 × -5 × 7) / (3 × 16 × 5)
=(-60 × 7) / (48 × 5)
=(-420) / (240)
=(-7/4)
Therefore, the expression (−3) ÷ (3/4) × (2/7) × (−5/16) ÷ (5/7) equals -7/4.
Use the properties of operations and rules for multiplying and dividing to solve:
(−3/5)×(5/16)×(7/12)÷(−3/16)×(−5/7)
(−3/5)×(5/16)×(7/12)÷(−3/16)×(−5/7)
To solve the expression (−3/5)×(5/16)×(7/12)÷(−3/16)×(−5/7), we can simplify the multiplication and division of fractions.
When we multiply fractions, we multiply the numerators together and the denominators together. When we divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
Let's simplify the expression step by step:
(-3/5) × (5/16) × (7/12) ÷ (−3/16) × (−5/7)
First, let's simplify the multiplication of fractions:
(-3/5) × (5/16) × (7/12) = (-3 × 5 × 7) / (5 × 16 × 12)
Next, let's simplify the division of fractions by multiplying the first fraction by the reciprocal of the second fraction:
((-3 × 5 × 7) / (5 × 16 × 12)) ÷ (−3/16) × (−5/7) = ((-3 × 5 × 7) / (5 × 16 × 12)) × (16/−3) × (7/−5)
Now, let's simplify the multiplication of fractions:
((-3 × 5 × 7) / (5 × 16 × 12)) × (16/−3) × (7/−5) = ((-3 × 5 × 7 × 16) / (5 × 16 × 12 × 3)) × (7/−5)
Finally, let's simplify further:
((-3 × 5 × 7 × 16) / (5 × 16 × 12 × 3)) × (7/−5) = (-3 × 16 × 7) / (12 × 3) × (7/−5) = (-336/36) × (7/−5) = (-336 × 7) / (36 × (-5)) = (-2352) / (-180) = 196/15
Therefore, the expression (−3/5)×(5/16)×(7/12)÷(−3/16)×(−5/7) simplifies to 196/15.
When we multiply fractions, we multiply the numerators together and the denominators together. When we divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
Let's simplify the expression step by step:
(-3/5) × (5/16) × (7/12) ÷ (−3/16) × (−5/7)
First, let's simplify the multiplication of fractions:
(-3/5) × (5/16) × (7/12) = (-3 × 5 × 7) / (5 × 16 × 12)
Next, let's simplify the division of fractions by multiplying the first fraction by the reciprocal of the second fraction:
((-3 × 5 × 7) / (5 × 16 × 12)) ÷ (−3/16) × (−5/7) = ((-3 × 5 × 7) / (5 × 16 × 12)) × (16/−3) × (7/−5)
Now, let's simplify the multiplication of fractions:
((-3 × 5 × 7) / (5 × 16 × 12)) × (16/−3) × (7/−5) = ((-3 × 5 × 7 × 16) / (5 × 16 × 12 × 3)) × (7/−5)
Finally, let's simplify further:
((-3 × 5 × 7 × 16) / (5 × 16 × 12 × 3)) × (7/−5) = (-3 × 16 × 7) / (12 × 3) × (7/−5) = (-336/36) × (7/−5) = (-336 × 7) / (36 × (-5)) = (-2352) / (-180) = 196/15
Therefore, the expression (−3/5)×(5/16)×(7/12)÷(−3/16)×(−5/7) simplifies to 196/15.
not the right answer
I apologize for the mistake. Let's redo the calculation correctly:
(−3/5) × (5/16) × (7/12) ÷ (−3/16) × (−5/7)
When multiplying fractions, we multiply the numerators together and the denominators together. When dividing fractions, we multiply the first fraction by the reciprocal of the second fraction.
Let's simplify the expression step by step:
(-3/5) × (5/16) × (7/12) ÷ (−3/16) × (−5/7)
First, let's simplify the multiplication of fractions:
(-3/5) × (5/16) × (7/12) = (-3 × 5 × 7) / (5 × 16 × 12) = (-105) / (960)
Next, let's simplify the division of fractions by multiplying the first fraction by the reciprocal of the second fraction:
(-105/960) ÷ (−3/16) × (−5/7) = (-105/960) × (16/−3) × (−5/7) = (105 × 16 × 5) / (960 × 3 × 7)
Now, let's simplify the multiplication of fractions:
(105 × 16 × 5) / (960 × 3 × 7) = (8400) / (15120)
Finally, let's simplify the fraction:
(8400) / (15120) = 14/25
Therefore, the expression (−3/5) × (5/16) × (7/12) ÷ (−3/16) × (−5/7) simplifies to 14/25.
(−3/5) × (5/16) × (7/12) ÷ (−3/16) × (−5/7)
When multiplying fractions, we multiply the numerators together and the denominators together. When dividing fractions, we multiply the first fraction by the reciprocal of the second fraction.
Let's simplify the expression step by step:
(-3/5) × (5/16) × (7/12) ÷ (−3/16) × (−5/7)
First, let's simplify the multiplication of fractions:
(-3/5) × (5/16) × (7/12) = (-3 × 5 × 7) / (5 × 16 × 12) = (-105) / (960)
Next, let's simplify the division of fractions by multiplying the first fraction by the reciprocal of the second fraction:
(-105/960) ÷ (−3/16) × (−5/7) = (-105/960) × (16/−3) × (−5/7) = (105 × 16 × 5) / (960 × 3 × 7)
Now, let's simplify the multiplication of fractions:
(105 × 16 × 5) / (960 × 3 × 7) = (8400) / (15120)
Finally, let's simplify the fraction:
(8400) / (15120) = 14/25
Therefore, the expression (−3/5) × (5/16) × (7/12) ÷ (−3/16) × (−5/7) simplifies to 14/25.
not correct
Apologies for the mistakes in my previous responses. Let's correctly solve the expression:
(−3/5) × (5/16) × (7/12) ÷ (−3/16) × (−5/7)
To simplify this expression, we can cancel out any factors that occur in both the numerator and denominator.
Let's simplify step by step:
(-3/5) × (5/16) × (7/12) ÷ (−3/16) × (−5/7)
Cancel out factors:
(-3/5) × (1/1) × (7/12) ÷ (1/1) × (1/7)
Simplify the multiplication:
(-3/5) × (7/12) ÷ (1/7)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
(-3/5) × (7/12) × (7/1)
Multiply the numerators and denominators:
(-3 × 7 × 7) / (5 × 12 × 1)
Simplify:
(-147) / (60)
This fraction cannot be simplified further, so the answer is -147/60.
Therefore, the expression (−3/5) × (5/16) × (7/12) ÷ (−3/16) × (−5/7) simplifies to -147/60.
(−3/5) × (5/16) × (7/12) ÷ (−3/16) × (−5/7)
To simplify this expression, we can cancel out any factors that occur in both the numerator and denominator.
Let's simplify step by step:
(-3/5) × (5/16) × (7/12) ÷ (−3/16) × (−5/7)
Cancel out factors:
(-3/5) × (1/1) × (7/12) ÷ (1/1) × (1/7)
Simplify the multiplication:
(-3/5) × (7/12) ÷ (1/7)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
(-3/5) × (7/12) × (7/1)
Multiply the numerators and denominators:
(-3 × 7 × 7) / (5 × 12 × 1)
Simplify:
(-147) / (60)
This fraction cannot be simplified further, so the answer is -147/60.
Therefore, the expression (−3/5) × (5/16) × (7/12) ÷ (−3/16) × (−5/7) simplifies to -147/60.
are you suree
Apologies for the errors in my previous responses. Let's solve the expression correctly now:
(−3/5) × (5/16) × (7/12) ÷ (−3/16) × (−5/7)
To simplify this expression, we'll cancel out common factors and perform the multiplication and division of fractions.
Let's simplify step by step:
-3/5 × 5/16 × 7/12 ÷ -3/16 × -5/7
Cancel out factors:
(-3/5) × (1/1) × (7/12) ÷ (1/1) × (1/7)
Simplify the multiplication:
(-3/5) × (7/12) × (1/1)
Multiply the numerators and denominators:
(-3 × 7) / (5 × 12)
Simplify further:
(-21) / (60)
The numerator and denominator have a common factor of 3:
(-7) / (20)
Therefore, the expression (−3/5) × (5/16) × (7/12) ÷ (−3/16) × (−5/7) simplifies to -7/20.
(−3/5) × (5/16) × (7/12) ÷ (−3/16) × (−5/7)
To simplify this expression, we'll cancel out common factors and perform the multiplication and division of fractions.
Let's simplify step by step:
-3/5 × 5/16 × 7/12 ÷ -3/16 × -5/7
Cancel out factors:
(-3/5) × (1/1) × (7/12) ÷ (1/1) × (1/7)
Simplify the multiplication:
(-3/5) × (7/12) × (1/1)
Multiply the numerators and denominators:
(-3 × 7) / (5 × 12)
Simplify further:
(-21) / (60)
The numerator and denominator have a common factor of 3:
(-7) / (20)
Therefore, the expression (−3/5) × (5/16) × (7/12) ÷ (−3/16) × (−5/7) simplifies to -7/20.
your making me fail
I apologize for the repeated errors in my previous responses. Let's solve the expression correctly this time:
(−3/5) × (5/16) × (7/12) ÷ (−3/16) × (−5/7)
To simplify this expression, we'll multiply and divide the fractions step by step:
First, let's multiply the fractions:
(−3/5) × (5/16) × (7/12) = (−3 × 5 × 7) / (5 × 16 × 12) = (−105) / (960)
Next, let's divide the fractions:
(−105/960) ÷ (−3/16) × (−5/7) = (−105/960) × (16/−3) × (−5/7)
Now, let's simplify the multiplication:
(−105/960) × (16/−3) × (−5/7) = (−105 × 16 × −5) / (960 × −3 × 7)
Simplify further:
= (8400) / (15120)
Reduce the fraction:
= (2 × 4200) / (2 × 7560) = 4200/7560
Now, let's find the greatest common divisor of 4200 and 7560 to simplify the fraction:
4200 = 2^3 × 3 × 5^2 × 7
7560 = 2^3 × 3^3 × 5 × 7
The greatest common divisor is 2^3 × 3 × 5 × 7 = 168.
So, we can simplify the fraction by dividing the numerator and denominator by 168:
4200/7560 = (4200/168) / (7560/168) = 25/44.
Therefore, the correct simplification of the expression (−3/5) × (5/16) × (7/12) ÷ (−3/16) × (−5/7) is 25/44.
(−3/5) × (5/16) × (7/12) ÷ (−3/16) × (−5/7)
To simplify this expression, we'll multiply and divide the fractions step by step:
First, let's multiply the fractions:
(−3/5) × (5/16) × (7/12) = (−3 × 5 × 7) / (5 × 16 × 12) = (−105) / (960)
Next, let's divide the fractions:
(−105/960) ÷ (−3/16) × (−5/7) = (−105/960) × (16/−3) × (−5/7)
Now, let's simplify the multiplication:
(−105/960) × (16/−3) × (−5/7) = (−105 × 16 × −5) / (960 × −3 × 7)
Simplify further:
= (8400) / (15120)
Reduce the fraction:
= (2 × 4200) / (2 × 7560) = 4200/7560
Now, let's find the greatest common divisor of 4200 and 7560 to simplify the fraction:
4200 = 2^3 × 3 × 5^2 × 7
7560 = 2^3 × 3^3 × 5 × 7
The greatest common divisor is 2^3 × 3 × 5 × 7 = 168.
So, we can simplify the fraction by dividing the numerator and denominator by 168:
4200/7560 = (4200/168) / (7560/168) = 25/44.
Therefore, the correct simplification of the expression (−3/5) × (5/16) × (7/12) ÷ (−3/16) × (−5/7) is 25/44.
never mind i guess sigh
I apologize for the confusion and frustration caused. If you have any other questions or need assistance in the future, please feel free to ask.