12+45\dfrac{1}{2} + \dfrac{4}{5}
12+45\dfrac{1}{2} + \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 2 and 5 is 10, so we need to multiply to make each of the denominators = 10
12∗55=510\dfrac{1}{2} * \dfrac{5}{5} = \dfrac{5}{10}
45∗22=810\dfrac{4}{5} * \dfrac{2}{2} = \dfrac{8}{10}
Since these fractions have the same denominator, we can just add the numerators
510+810=1310\dfrac{5}{10} + \dfrac{8}{10} = \dfrac{13}{10}
Because 1310\dfrac{13}{10} is an improper fraction (the numerator is greater than the denominator), we need to convert it to a mixed number
1310=1310\dfrac{13}{10} = 1\dfrac{3}{10}