Answer :
To make the expression 8/9 + 5/3 - 76 equal to the nearest whole number, we need to add and subtract a rational number in such a way that the sum and difference of the expression is a whole number.
First, let's simplify the expression by finding the common denominator:
8/9 + 5/3 - 76 = 8/9 + 15/9 - 76
= -601/9
To make -601/9 equal to the nearest whole number, we need to add and subtract the fraction 67/9.
Adding and subtracting 67/9, we get:
(-601/9 + 67/9) - (67/9) = -534/9 - 67/9
= -601/9
So the rational number that must be added and subtracted to make the expression 8/9 + 5/3 - 76 equal to the nearest whole number is 67/9.
[tex] \Large\mathbb{DIRECTOR\: GENERAL} [/tex]
[tex] \small\mathbb{●PLEASE\: MARK\:ME\:AS\:BRAINLIEST●} [/tex]