The given expression is
[tex]5 \frac{13}{15} -1 \frac{2}{3}[/tex]
First we write them in improper fraction. That is
[tex]= \frac{5*15+13}{15} - \frac{1*3+2}{3}[/tex]
[tex]= \frac{88}{15} - \frac{5}{3}[/tex]
And the LCD is 15 here.
[tex]\frac{88-25}{15} = \frac{63}{15}[/tex]
Which can be reduced to
[tex]= \frac{21}{5} = 4 \frac{1}{5}[/tex]