12+710\dfrac{1}{2} + \dfrac{7}{10}
12+710\dfrac{1}{2} + \dfrac{7}{10}
Since these fractions have different denominators, we need to find the least common multiple of the denominators
The least common multiple of 2 and 10 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}
710∗11=710\dfrac{7}{10} * \dfrac{1}{1} = \dfrac{7}{10}
Since these fractions have the same denominator, we can just add the numerators
510+710=1210\dfrac{5}{10} + \dfrac{7}{10} = \dfrac{12}{10}
1210\dfrac{12}{10} can be reduced, since 22 is a factor of both 1212 and 1010:
1210÷22=65\dfrac{12}{10} \div \dfrac{2}{2} = \dfrac{6}{5}
The fraction is now in lowest terms
Because 65\dfrac{6}{5} is an improper fraction (the numerator is greater than the denominator), we need to convert it to a mixed number
65=115\dfrac{6}{5} = 1\dfrac{1}{5}