13+45\dfrac{1}{3} + \dfrac{4}{5}
13+45\dfrac{1}{3} + \dfrac{4}{5}
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
13∗55=515\dfrac{1}{3} * \dfrac{5}{5} = \dfrac{5}{15}
45∗33=1215\dfrac{4}{5} * \dfrac{3}{3} = \dfrac{12}{15}
Since these fractions have the same denominator, we can just add the numerators
515+1215=1715\dfrac{5}{15} + \dfrac{12}{15} = \dfrac{17}{15}
Because 1715\dfrac{17}{15} is an improper fraction (the numerator is greater than the denominator), we need to convert it to a mixed number
1715=1215\dfrac{17}{15} = 1\dfrac{2}{15}