Convert the fractions to a common denominator:

Z+2 4/11 = 11Z + 2 4/11
4 7/11 = 4 7/11

Perform the subtraction:

(11Z + 2 4/11) - (4 7/11)
= 11Z + 2 4/11 - 4 - 7/11
= 11Z + 2 - 4 + (4-7)/11
= 11Z - 2 3/11

Simplify the final result:

11Z - 2 3/11
= 11Z - 2 3/11
= 11Z - 2 3/11
= 11Z - 2 3/11
= 11Z - 3 3/11