To solve the expression (-3/5) times (5/16) times (7/12) divided by (-3/16) times (-5/7), we can use the properties of operations and rules for multiplying and dividing
To solve the expression, we can follow the order of operations (PEMDAS) and the rules for multiplying and dividing fractions.
First, we can simplify each fraction:
(-3/5) times (5/16) times (7/12) divided by (-3/16) times (-5/7)
= (-3/5) * (5/16) * (7/12) / (-3/16) * (-5/7)
Multiplying fractions:
= (-3 * 5 * 7) / (5 * 16 * 12) / (-3 * -5 * 16 * 7)
= (-3 * 5 * 7) / (5 * 16 * 12) / (3 * 5 * 16 * 7)
Multiplying the numerators together and the denominators together, we get:
= (-3 * 5 * 7) / (5 * 16 * 12 * 3 * 5 * 16 * 7)
Now, cancel any factors common to both the numerator and denominator:
= (-3 * 5 * 7) / (5 * 16 * 12 * 3 * 5 * 16 * 7)
= (-1) / (16 * 12 * 16)
= -1 / (3072)
So the solution to the expression (-3/5) times (5/16) times (7/12) divided by (-3/16) times (-5/7) is -1/3072.
wonrg
I apologize if there was an error in my response. Could you please clarify what specifically you believe is incorrect or provide more information so I can assist you better?
simplify
Apologies for any confusion. To simplify the expression, we can simplify each fraction and cancel out any common factors:
(-3/5) * (5/16) * (7/12) / (-3/16) * (-5/7)
First, let's simplify the numerators and denominators:
(-3/5) * (5/16) * (7/12) / (-3/16) * (-5/7)
= (-3 * 5 * 7) / (5 * 16 * 12) / (-3 * 16) * (-5 * 7)
Cancel out common factors:
= (-3 * 1 * 1) / (1 * 4 * 1) / (-1 * 1) * (-1 * 1)
= -3 / (4 * -1)
= -3 / -4
When dividing by a negative number, we can flip the fraction to change it to a positive:
= 3 / 4
So, the simplified expression is 3/4.
wonrg
Apologies for the mistake. Let's simplify the expression correctly.
(-3/5) * (5/16) * (7/12) / (-3/16) * (-5/7)
Multiplying the numerators and denominators:
(-3*5*7) / (5*16*12) / (-3*-5*16*7)
Cancel out common factors:
(-3*1*7) / (1*16*12) / (-3*-1*16) = (-3*7) / (16*12) / (-3*16)
Simplify further:
-21 / (16*12) / (-48) = -21 / (192) / (-48)
To divide by a fraction, we can multiply by its reciprocal:
-21 / (192) * (-48/1) = -21 * (-48) / (192 * 1)
Simplify the numerator and denominator:
1008 / 192 = 21/4
Therefore, the simplified expression is 21/4.
worng
Apologies for the mistake. Here's another attempt at simplifying the expression correctly.
(-3/5) * (5/16) * (7/12) / (-3/16) * (-5/7)
Multiplying fractions:
= (-3 * 5 * 7) / (5 * 16 * 12) / (-3 * -5 * 16 * 7)
= (-3 * 5 * 7) / (5 * 16 * 12 * -3 * -5 * 16 * 7)
Now, cancel any factors common to both the numerator and denominator:
= (-3 * 5 * 7) / (5 * 16 * 12 * -3 * -5 * 16 * 7)
= (-3 * 7) / (16 * 12)
= -21 / (16 * 12)
= -21 / 192
So, the simplified expression is -21/192.