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Mixed numbers can be converted to improper fractions. Improper fractions can be added the same way proper fractions are.
It is best to convert the mixed fraction to an improper fraction. They are then added together in the same way as proper fractions are added together.
You need to learn how to convert from improper fractions to mixed fractions and vice versa; however, for most other operations, such as compare, add, subtract, multiply, and divide them, it really doesn't make much difference whether the fraction is proper or improper.
You convert them both to improper fractions by multiplying the denominators by the whole number and then adding the numerator to it. This number goes in the numerator and the denominator stays the same. Then you do this for the other fraction, making sure that the denominators of each fraction are equivalent. Then add the fractions as normal.
You need common denominators. Then add or subtract the numerators. If the answer is an improper fraction it is common practice to reduce it to a mixed number.