Answer:
The number is -2
Step-by-step explanation:
step 1
Find the reciprocal of 2/3
Remember that when multiply a number by its reciprocal, the result is 1
so
The reciprocal of 2/3 is 3/2
step 2
Let
x-----> the number added to the numerator and denominator

Solve for x

step 3
verify

substitute x=-2


Simplify
----> is ok
therefore
The number is -2
Integer -84/4 = -22 which is an integer.