To add fractions with different denominators, first convert them to equivalent fractions with a common denominator (LCM). Then add the numerators and keep the denominator.

Find a common denominator. The denominators are 3 and 6. The LCM is 6.
\(\dfrac{1}{3}\)	=	\(\dfrac{1 \times 2}{3 \times 2} = \dfrac{2}{6}\)
\(\dfrac{5}{6}\)	=	\(\dfrac{5}{6}\) (already in sixths)
Sum	=	\(\dfrac{2}{6} + \dfrac{5}{6} = \dfrac{7}{6}\)
Convert to a mixed number: 7/6 = 7 divided by 6 = 1 whole and 1/6 remainder.
As mixed number	=	\(1\dfrac{1}{6}\)
1 1/6 is NOT among options A-C. The correct answer is "None of the above". The stored answer key (B: 1 1/2) is incorrect.