12+512\dfrac{1}{2} + \dfrac{5}{12}
12+512\dfrac{1}{2} + \dfrac{5}{12}
Since these fractions have different denominators, we need to find the least common multiple of the denominators
The least common multiple of 2 and 12 is 12, so we need to multiply to make each of the denominators = 12
1266=612\dfrac{1}{2} * \dfrac{6}{6} = \dfrac{6}{12}
51211=512\dfrac{5}{12} * \dfrac{1}{1} = \dfrac{5}{12}
Since these fractions have the same denominator, we can just add the numerators
612+512=1112\dfrac{6}{12} + \dfrac{5}{12} = \dfrac{11}{12}