we are given
absolute value of 2 and 2 3rd and negative 9 over 4
Firstly , we need write it in terms of expression
2 and 2 3rd is
[tex] 2+\frac{2}{3} [/tex]
so, we get as
[tex] |2+\frac{2}{3} -\frac{9}{4} | [/tex]
now, we can simplify it
Firstly , we will find common denominator
[tex] |\frac{2*12}{1*12} +\frac{2*4}{3*4} -\frac{9*3}{4*3} | [/tex]
[tex] |\frac{24}{12} +\frac{8}{12} -\frac{27}{12} | [/tex]
we can see that
all denominators are same
so, we can combine numerators
[tex] =|\frac{24+8-27}{12} | [/tex]
[tex] =|\frac{5}{12} | [/tex]
[tex] =\frac{5}{12} [/tex]..............Answer