13+14\dfrac{1}{3} + \dfrac{1}{4}
13+14\dfrac{1}{3} + \dfrac{1}{4}
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
1344=412\dfrac{1}{3} * \dfrac{4}{4} = \dfrac{4}{12}
1433=312\dfrac{1}{4} * \dfrac{3}{3} = \dfrac{3}{12}
Since these fractions have the same denominator, we can just add the numerators
412+312=712\dfrac{4}{12} + \dfrac{3}{12} = \dfrac{7}{12}