14+19\dfrac{1}{4} + \dfrac{1}{9}
14+19\dfrac{1}{4} + \dfrac{1}{9}
Since these fractions have different denominators, we need to find the least common multiple of the denominators
The least common multiple of 4 and 9 is 36, so we need to multiply to make each of the denominators = 36
14∗99=936\dfrac{1}{4} * \dfrac{9}{9} = \dfrac{9}{36}
19∗44=436\dfrac{1}{9} * \dfrac{4}{4} = \dfrac{4}{36}
Since these fractions have the same denominator, we can just add the numerators
936+436=1336\dfrac{9}{36} + \dfrac{4}{36} = \dfrac{13}{36}