Use the properties of operations and rules for multiplying and dividing to solve -3 divided by 3/4 x 2/7 x -5/16 divided by 5/7
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To solve this expression, we can apply the properties of operations and rules for multiplying and dividing step by step:
-3 ÷ (3/4) × (2/7) × (-5/16) ÷ (5/7)
First, let's simplify the division by multiplying by the reciprocal:
-3 × 4/3 × 2/7 × (-5/16) × 7/5
Next, we can simplify the multiplication:
= -3 × 4 × 2 × (-5) × 7 / (3 × 7 × 16 × 5)
= -3 × 4 × 2 × (-5) / (3 × 7 × 16) [The 7's cancel out]
= -3 × 4 × 2 × (-5) / (3 × 16)
= -3 × 4 × 2 × (-5) / 48
= -3 × 4 × (-10) / 48
= -12 × (-10) / 48
Now, let's simplify the remaining multiplication:
= 120 / 48
Lastly, we can simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 24:
= 5/2
Therefore, -3 divided by 3/4 × 2/7 × -5/16 divided by 5/7 equals 5/2 or 2.5.
thats not correct
Apologies for the previous incorrect response. Let's solve the expression correctly:
For the given expression: -3 ÷ (3/4) × (2/7) × (-5/16) ÷ (5/7)
We can start by simplifying the division by multiplying by the reciprocal:
-3 ÷ (3/4) × (2/7) × (-5/16) × (7/5)
Next, let's simplify the multiplication:
= -3 × 4/3 × 2/7 × (-5/16) × 7/5
Before we multiply, we can simplify some terms:
= -1 × 4/(1 × 3) × 2/(1 × 7) × (-5)/(2 × 8) × (1 × 7)/5
Now, let's multiply the numerators and denominators:
= -4/3 × 2/7 × (-5)/(8 × 2) × 7/5
Simplifying further:
= -4/3 × 2/7 × (-5)/16 × 7/5
Now, let's simplify the multiplication:
= -560/3 × (-35)/80
To multiply these fractions, we multiply the numerators and the denominators:
= 19600/(3 × 80)
= 19600/240
We can simplify the fraction by dividing the numerator and the denominator by their greatest common divisor, which is 40:
= 490/6
= 245/3
Therefore, the correct solution for the expression -3 divided by 3/4 x 2/7 x -5/16 divided by 5/7 is 245/3.
no not that ethier
Apologies for the continued confusion. Let's solve the expression correctly:
To solve the expression -3 ÷ (3/4) × (2/7) × (-5/16) ÷ (5/7), we can simplify it step by step.
First, let's simplify the division:
-3 ÷ (3/4) is the same as -3 × (4/3).
Next, let's simplify the multiplication:
-3 × (4/3) × (2/7) × (-5/16) ÷ (5/7)
Multiplying the numerators and denominators together:
= (-3 × 4 × 2 × -5) / (3 × 7 × 16 × 5)
Simplifying:
= -120 / 1680
We can simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 40:
= -3 / 42
The fraction -3/42 can be simplified further. Both -3 and 42 can be divided by 3:
= -1/14
Therefore, -3 divided by 3/4 × 2/7 × -5/16 divided by 5/7 equals -1/14.
Use the properties of operations and rules for multilping and dividing to solve: (-3) divided by (3/4) times (2/7) times (-5/16) divided by (5/7) =
To solve this expression, we can start by simplifying each part of the expression separately.
First, let's simplify the division:
(-3) ÷ (3/4) = (-3) × (4/3) = -12/3 = -4
Next, let's simplify the multiplication:
(-4) × (2/7) × (-5/16) × (7/5)
Multiplying the numerators and denominators together:
= (-4 × 2 × (-5) × 7) / (7 × 5 × 16 × 5)
Simplifying:
= (-4 × 2 × (-5) × 7) / (5600)
= 280 / 5600
We can simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 280:
= 1 / 20
Therefore, (-3) divided by (3/4) times (2/7) times (-5/16) divided by (5/7) equals 1/20.
nope not it
Apologies for the incorrect response. Let's solve the expression correctly:
(-3) ÷ (3/4) × (2/7) × (-5/16) ÷ (5/7)
To simplify this expression, we can follow the order of operations by performing the divisions first:
(-3) ÷ (3/4) = -3 * (4/3) = -3 * 4/3 = -12/3 = -4
Similarly, (-5/16) ÷ (5/7) = (-5/16) * (7/5) = -35/80 = -7/16
Now, the expression becomes:
-4 × (2/7) × (-7/16)
We can simplify the multiplication as follows:
= -4 * 2/7 * -7/16
Multiplying the numerators and denominators together:
= (-4 * 2 * -7) / (7 * 16)
Simplifying:
= 56 / 112
Dividing both numerator and denominator by their greatest common divisor, which is 56:
= 1 / 2
Therefore, (-3) ÷ (3/4) × (2/7) × (-5/16) ÷ (5/7) equals 1/2.