Use the properties of operations and rules for multiplying and dividing to solve: (-3/5)x(5/16)x(7/12)divided by (-3/16)x(-5/7)
To solve this expression, we will use the properties of operations for dividing and multiplying fractions.
First, we can simplify each multiplication separately:
(-3/5) x (5/16) x (7/12) = (-3 x 5 x 7) / (5 x 16 x 12) = -105 / 960
(-3/16) x (-5/7) = (3 x 5) / (16 x 7) = 15 / 112
Now, we can divide (-105/960) by (15/112):
(-105/960) ÷ (15/112) = (-105/960) x (112/15) = (-105 x 112) / (960 x 15) = -11760 / 14400
To simplify this fraction further, we can find the greatest common divisor (GCD) of the numerator and the denominator, which is 240:
-11760/240 / 14400/240 = -49/60
Therefore, (-3/5)x(5/16)x(7/12) divided by (-3/16)x(-5/7) is equal to -49/60.
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To solve the expression (-3/5) x (5/16) x (7/12) ÷ (-3/16) x (-5/7), we will use the properties of operations for multiplying and dividing fractions.
First, let's simplify each multiplication individually:
(-3/5) x (5/16) x (7/12) = (-3 x 5 x 7) / (5 x 16 x 12) = -105 / 960
(-3/16) x (-5/7) = (3 x 5) / (16 x 7) = 15 / 112
Now, let's divide -105/960 by 15/112:
(-105/960) ÷ (15/112) = (-105/960) x (112/15) = (-105 x 112) / (960 x 15) = -11760 / 14400
To simplify the fraction further, we can divide both the numerator and the denominator by their greatest common divisor (GCD), which is 240:
-11760/240 ÷ 14400/240 = -49/60
Therefore, (-3/5) x (5/16) x (7/12) ÷ (-3/16) x (-5/7) simplifies to -49/60.
To solve this expression, we can simplify it step-by-step using the properties of operations and rules for multiplying and dividing fractions.
Step 1: Simplify each expression individually.
For the numerator: (-3/5) x (5/16) x (7/12)
Multiply the numerators: -3 x 5 x 7 = -105
Multiply the denominators: 5 x 16 x 12 = 960
So the numerator becomes -105.
For the denominator: (-3/16) x (-5/7)
Multiply the numerators: -3 x -5 = 15
Multiply the denominators: 16 x 7 = 112
So the denominator becomes 15/112.
Now we have (-105)/(15/112).
Step 2: Divide the two fractions.
Dividing by a fraction is the same as multiplying by its reciprocal. So, we can rewrite dividing by (15/112) as multiplying by (112/15).
Therefore, (-105) x (112/15).
Step 3: Simplify the expression further.
Multiply the numerators: -105 x 112 = -11760
Multiply the denominators: 15
The simplified expression is -11760/15.
Step 4: Simplify the fraction.
To simplify the fraction, we can divide the numerator and denominator by their greatest common divisor, which is 15.
-11760 divided by 15 equals -784.
15 divided by 15 equals 1.
Therefore, the final simplified expression is -784/1 or simply -784.
To solve the expression (-3/5) x (5/16) x (7/12) divided by (-3/16) x (-5/7), we can simplify each part of the expression step by step using the properties of operations.
First, let's simplify the numerator:
(-3/5) x (5/16) x (7/12)
To multiply fractions, we multiply the numerators and multiply the denominators:
= (-3 x 5 x 7) / (5 x 16 x 12)
= -105 / 960
= -7/64
Next, let's simplify the denominator:
(-3/16) x (-5/7)
Again, we multiply the numerators and multiply the denominators:
= (3 x 5) / (16 x 7)
= 15 / 112
Now, let's divide the numerator by the denominator:
(-7/64) divided by (15/112)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
= (-7/64) x (112/15)
To multiply fractions, we multiply the numerators and multiply the denominators:
= (-7 x 112) / (64 x 15)
= -784 / 960
Now, we can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor. In this case, it's 16:
= (-49/60)
Therefore, the solution to the expression (-3/5) x (5/16) x (7/12) divided by (-3/16) x (-5/7) is -49/60.