15+19\dfrac{1}{5} + \dfrac{1}{9}
15+19\dfrac{1}{5} + \dfrac{1}{9}
Since these fractions have different denominators, we need to find the least common multiple of the denominators
The least common multiple of 5 and 9 is 45, so we need to multiply to make each of the denominators = 45
15∗99=945\dfrac{1}{5} * \dfrac{9}{9} = \dfrac{9}{45}
19∗55=545\dfrac{1}{9} * \dfrac{5}{5} = \dfrac{5}{45}
Since these fractions have the same denominator, we can just add the numerators
945+545=1445\dfrac{9}{45} + \dfrac{5}{45} = \dfrac{14}{45}