Calculating the sum of 2 3/4 and 7 3/5, we have:
[tex]\begin{gathered} 2\frac{3}{4}+7\frac{3}{5} \\ =2+\frac{3}{4}+7+\frac{3}{5} \\ =9+(\frac{3}{4}+\frac{3}{5})_{} \\ =9+(\frac{3\cdot5+3\cdot4}{20})_{} \\ =9+\frac{27}{20} \\ =9+\frac{20}{20}+\frac{7}{20} \\ =9+1+\frac{7}{20} \\ =10+\frac{7}{20} \\ =10\frac{7}{20} \end{gathered}[/tex]So the result is 10 7/20.