To solve this expression, we follow the order of operations (PEMDAS):
-4/7 - 2/3 = (-12/21) - (14/21) = (-12 - 14)/21 = -26/21
4 * (-26/21) = -104/21
-5/12 ÷ 8 = -5/12 * 1/8 = -5/96
-104/21 + (-5/96) = (-10496 - 521)/(21*96) = (-9984 - 105)/2016 = -10089/2016
Thus, the final result of the expression 4*(-4/7 - 2/3) - 5/12 ÷ 8 is -10089/2016.
To solve this expression, we follow the order of operations (PEMDAS):
First, we simplify the expression inside the parentheses:-4/7 - 2/3 = (-12/21) - (14/21) = (-12 - 14)/21 = -26/21
Multiplying 4 by -26/21:4 * (-26/21) = -104/21
Next, we perform division -5/12 divided by 8.3:-5/12 ÷ 8 = -5/12 * 1/8 = -5/96
Adding the results from step 2 and step 3:-104/21 + (-5/96) = (-10496 - 521)/(21*96) = (-9984 - 105)/2016 = -10089/2016
Thus, the final result of the expression 4*(-4/7 - 2/3) - 5/12 ÷ 8 is -10089/2016.