12+34\dfrac{1}{2} + \dfrac{3}{4}
12+34\dfrac{1}{2} + \dfrac{3}{4}
Since these fractions have different denominators, we need to find the least common multiple of the denominators
The least common multiple of 2 and 4 is 4, so we need to multiply to make each of the denominators = 4
12∗22=24\dfrac{1}{2} * \dfrac{2}{2} = \dfrac{2}{4}
34∗11=34\dfrac{3}{4} * \dfrac{1}{1} = \dfrac{3}{4}
Since these fractions have the same denominator, we can just add the numerators
24+34=54\dfrac{2}{4} + \dfrac{3}{4} = \dfrac{5}{4}
Because 54\dfrac{5}{4} is an improper fraction (the numerator is greater than the denominator), we need to convert it to a mixed number
54=114\dfrac{5}{4} = 1\dfrac{1}{4}