15+23\dfrac{1}{5} + \dfrac{2}{3}
15+23\dfrac{1}{5} + \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 5 is 15, so we need to multiply to make each of the denominators = 15
15∗33=315\dfrac{1}{5} * \dfrac{3}{3} = \dfrac{3}{15}
23∗55=1015\dfrac{2}{3} * \dfrac{5}{5} = \dfrac{10}{15}
Since these fractions have the same denominator, we can just add the numerators
315+1015=1315\dfrac{3}{15} + \dfrac{10}{15} = \dfrac{13}{15}