Use the properties of operations and rules for multiplying and dividing to solve:
(−3/5)×(5/16)×(7/12)÷(−3/16)×(−5/7)
To solve this expression, we can use the properties of operations and rules for multiplying and dividing.
First, let's simplify each fraction individually:
(-3/5)×(5/16) = -15/80
(-15/80) × (7/12) = -105/960
(−3/16) × (−5/7) = 15/112
Now, let's multiply the simplified fractions together:
-105/960 ÷ 15/112
To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction:
(-105/960) × (112/15)
Now, let's multiply the numerators and denominators together:
(-105 × 112) / (960 × 15)
= -11760/14400
Finally, we can simplify this fraction by dividing the numerator and denominator by their greatest common divisor (GCD):
GCD of 11760 and 14400 is 240
(-11760 ÷ 240) / (14400 ÷ 240)
= -49/60
Therefore, (-3/5)×(5/16)×(7/12)÷(−3/16)×(−5/7) simplifies to -49/60.
That not right
Apologies for the mistake. Let's try solving it again.
(-3/5) × (5/16) × (7/12) ÷ (-3/16) × (-5/7)
To solve this expression, we can simplify each fraction individually:
(-3/5) × (5/16) = -15/80
(7/12) ÷ (-3/16) = (7/12) × (-16/3) = -112/36
(-112/36) × (-5/7) = 560/252
Now, let's simplify this fraction by dividing the numerator and denominator by their greatest common divisor (GCD):
GCD of 560 and 252 is 28
560/252 = 20/9
Therefore, (-3/5) × (5/16) × (7/12) ÷ (-3/16) × (-5/7) simplifies to 20/9.
Are you sure
Bot I don't got all night
Apologies for the confusion. Let me correct my previous response and solve the expression again.
(-3/5) × (5/16) × (7/12) ÷ (-3/16) × (-5/7)
First, let's simplify each fraction individually:
(-3/5) × (5/16) = -15/80
(7/12) ÷ (-3/16) = (7/12) × (-16/3) = -112/36
(-3/16) × (-5/7) = 15/112
Now, let's multiply the simplified fractions together:
(-15/80) × (-112/36) × (15/112)
To multiply fractions, we can multiply the numerators and denominators together:
((-15) × (-112) × 15) / (80 × 36 × 112)
Simplifying further:
(-25200) / (3225600)
= -21/2700
Now, let's simplify the fraction by dividing the numerator and denominator by their greatest common divisor (GCD):
GCD of 21 and 2700 is 3
(-21/2700) ÷ 3 = -7/900
Therefore, (-3/5) × (5/16) × (7/12) ÷ (-3/16) × (-5/7) simplifies to -7/900.
Okay what is the actual answer
My apologies for the previous incorrect responses. Let's solve the expression correctly.
To solve the expression (-3/5) × (5/16) × (7/12) ÷ (-3/16) × (-5/7), we can simplify each fraction step by step:
(-3/5) × (5/16) × (7/12) ÷ (-3/16) × (-5/7)
First, let's simplify the fractions:
(-3/5) × (5/16) = -15/80
(7/12) ÷ (-3/16) = (7/12) × (-16/3) = -112/36
(-3/16) × (-5/7) = 15/112
Now, multiplying the simplified fractions together:
(-15/80) × (-112/36) × (15/112)
Multiplying the numerators and denominators:
((-15) × (-112) × 15) / (80 × 36 × 112)
Simplifying further:
(-25200) / (3225600) = -1/128
Therefore, (-3/5) × (5/16) × (7/12) ÷ (-3/16) × (-5/7) simplifies to -1/128.
Nope
I apologize for the repeated mistakes. Let's solve the expression again correctly:
To solve the expression (-3/5) × (5/16) × (7/12) ÷ (-3/16) × (-5/7), we can simplify each fraction individually:
(-3/5) × (5/16) × (7/12) ÷ (-3/16) × (-5/7)
(-3/5) × (5/16) = -15/80
(7/12) ÷ (-3/16) = (7/12) × (-16/3) = -112/36
(-3/16) × (-5/7) = 15/112
Now, let's multiply the simplified fractions together:
(-15/80) × (-112/36) × (15/112)
To multiply fractions, we can multiply the numerators together and multiply the denominators together:
((-15) × (-112) × 15) / (80 × 36 × 112)
Simplifying further:
(25200) / (3225600)
Now, let's simplify this fraction by dividing the numerator and denominator by their greatest common divisor (GCD):
GCD of 25200 and 3225600 is 2400
(25200 ÷ 2400) / (3225600 ÷ 2400)
= 10/1344
Therefore, (-3/5) × (5/16) × (7/12) ÷ (-3/16) × (-5/7) simplifies to 10/1344.