4 1/6 (option A)
25/6 (option B)
3 7/6 (option D)
Explanation:[tex]2\frac{5}{6}+1\frac{2}{6}_{}[/tex]converting to improper fraction:
[tex]\begin{gathered} =\frac{17}{6}+\frac{8}{6} \\ \text{LCM = 6} \\ =\frac{17+8}{6} \\ =\text{ }\frac{25}{6}\text{ (option B)} \end{gathered}[/tex]Solving in mixed fraction:
[tex]\begin{gathered} 2\frac{5}{6}+1\frac{2}{6}\text{ = 2 + }\frac{5}{6}+1\text{ + }\frac{2}{6} \\ =\text{ }2\text{ + 1 +}\frac{5}{6}\text{ + }\frac{2}{6} \\ =\text{ 3 + }\frac{5+2}{6} \\ =\text{ 3 + }\frac{7}{6} \\ =\text{ 3 }\frac{7}{6}\text{ (option D)} \end{gathered}[/tex][tex]\begin{gathered} \text{ 3}\frac{7}{6}=\text{ 3 + }\frac{7}{6}\text{ } \\ \frac{7}{6\text{ }}=\text{ 1 }\frac{1}{6} \\ \text{= 3 + 1 }\frac{1}{6}\text{ = 3 + 1+ }\frac{1}{6}\text{ } \\ \text{ 4 }\frac{1}{6}\text{ (option A)} \\ \end{gathered}[/tex]