14+23\dfrac{1}{4} + \dfrac{2}{3}
14+23\dfrac{1}{4} + \dfrac{2}{3}
Since these fractions have different denominators, we need to find the least common multiple of the denominators
The least common multiple of 3 and 4 is 12, so we need to multiply to make each of the denominators = 12
14∗33=312\dfrac{1}{4} * \dfrac{3}{3} = \dfrac{3}{12}
23∗44=812\dfrac{2}{3} * \dfrac{4}{4} = \dfrac{8}{12}
Since these fractions have the same denominator, we can just add the numerators
312+812=1112\dfrac{3}{12} + \dfrac{8}{12} = \dfrac{11}{12}