Given:
[tex]3\frac{14}{15}+7\frac{6}{15}=?[/tex]We will add the given mixed numbers as follows:
[tex]\begin{gathered} =3+7+(\frac{14}{15}+\frac{6}{15}) \\ \\ =10+\frac{20}{15}=10+\frac{15+5}{15}=10+1\frac{5}{15} \\ \\ =11\frac{5}{15} \end{gathered}[/tex]