12+27\dfrac{1}{2} + \dfrac{2}{7}
12+27\dfrac{1}{2} + \dfrac{2}{7}
Since these fractions have different denominators, we need to find the least common multiple of the denominators
The least common multiple of 2 and 7 is 14, so we need to multiply to make each of the denominators = 14
12∗77=714\dfrac{1}{2} * \dfrac{7}{7} = \dfrac{7}{14}
27∗22=414\dfrac{2}{7} * \dfrac{2}{2} = \dfrac{4}{14}
Since these fractions have the same denominator, we can just add the numerators
714+414=1114\dfrac{7}{14} + \dfrac{4}{14} = \dfrac{11}{14}