Simplify the expression by addition of fractions.
[tex]\begin{gathered} 1\frac{1}{4}+2\frac{5}{6}=\frac{1\cdot4+1}{4}+\frac{2\cdot6+5}{6} \\ =\frac{5}{4}+\frac{17}{6} \\ =\frac{5\cdot3+17\cdot2}{12} \\ =\frac{15+34}{12} \\ =\frac{49}{12} \\ =4\frac{1}{12} \end{gathered}[/tex]So answer is,
[tex]4\frac{1}{12}[/tex]