What we are going to do is first to convert the mixed number to a fraction and then convert 6.5 into a fraction too, then we will divide the wide of the room by the length of each table, to know how many tables fits in the classroom:
[tex]23\frac{2}{3}=\frac{23(3)+2}{3}=\frac{71}{3}[/tex]and
[tex]6.5=\frac{2(6.5)}{2}=\frac{13}{2}[/tex]then
[tex]\frac{\frac{71}{3}}{\frac{13}{2}}=\frac{(71)(2)}{(3)(13)}=\frac{142}{39}=3.641025641[/tex]Since Mr. Martin can't cut the tables, we need to aproximate the number to 3
then the answer is that Mr. Martin can fit 3 tables across the width of the classroom.