14+17\dfrac{1}{4} + \dfrac{1}{7}
14+17\dfrac{1}{4} + \dfrac{1}{7}
Since these fractions have different denominators, we need to find the least common multiple of the denominators
The least common multiple of 4 and 7 is 28, so we need to multiply to make each of the denominators = 28
14∗77=728\dfrac{1}{4} * \dfrac{7}{7} = \dfrac{7}{28}
17∗44=428\dfrac{1}{7} * \dfrac{4}{4} = \dfrac{4}{28}
Since these fractions have the same denominator, we can just add the numerators
728+428=1128\dfrac{7}{28} + \dfrac{4}{28} = \dfrac{11}{28}