Answer:
[tex]2\dfrac{11}{12}[/tex]
Step-by-step explanation:
The first step is to ensure that all of the fractions have a common denominator.
[tex]3\dfrac{1}{3}+\left( -2\dfrac{1}{4} \right) + 1\dfrac{5}{6}= \\\\3\dfrac{4}{12} - 2\dfrac{3}{12} +1 \dfrac{10}{12}= \\\\1\dfrac{1}{12}+1\dfrac{10}{12}= \\\\\boxed{2\dfrac{11}{12}}[/tex]
Hope this helps!