Answer:
[tex]- \frac{134}{15}[/tex]
Step-by-step explanation:
[tex]-2\frac{4}{5} -6\frac{2}{15} =-\left( \frac{2\times 5}{5} +\frac{4}{5} \right) -\left( \frac{6\times 15}{15}+\frac{2}{15} \right)[/tex]
[tex]-2\frac{4}{5} -6\frac{2}{15} =-\left( \frac{10}{5} +\frac{4}{5} \right) -\left( \frac{90}{15}+\frac{2}{15} \right)[/tex]
[tex]-2\frac{4}{5} -6\frac{2}{15} =-\left( \frac{14}{5}\right) -\left( \frac{92}{15}\right)[/tex]
[tex]-2\frac{4}{5} -6\frac{2}{15} =-\left( \frac{42}{15}\right) -\left( \frac{92}{15}\right)[/tex]
[tex]-2\frac{4}{5} -6\frac{2}{15} =-\left( \frac{42+92}{15}\right)[/tex]
[tex]-2\frac{4}{5} -6\frac{2}{15} =- \frac{134}{15}[/tex]
[tex]-2\frac{4}{5} -6\frac{2}{15} =-8\frac{14}{15}[/tex]