15+29\dfrac{1}{5} + \dfrac{2}{9}
15+29\dfrac{1}{5} + \dfrac{2}{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
1599=945\dfrac{1}{5} * \dfrac{9}{9} = \dfrac{9}{45}
2955=1045\dfrac{2}{9} * \dfrac{5}{5} = \dfrac{10}{45}
Since these fractions have the same denominator, we can just add the numerators
945+1045=1945\dfrac{9}{45} + \dfrac{10}{45} = \dfrac{19}{45}