Q: How do you add fractions with unlike denominators and they are a mixed fraction?

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the fractions have different denominators

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.

First convert the mixed numbers into "top heavy (or "improper) fractions". Now multiply each of the improper fractions by each other - this makes the denominators the same. Now you can add both the fractions together (and cancel down if necessary).

Make sure the denominators of all the fractions are common.Add all numerators.Reduce the final fraction to its simplest form.Convert improper fraction to mixed number if needed.

It is the binary operation of multiplication which has two inputs, at least one of which comprises a mixed fraction: that is, a fraction which consists of an integer part and a part which is a proper fraction.

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the fractions have different denominators

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.

Although fractions or decimals are not called this, they are, in fact, decimal fractions.

First convert the mixed numbers into "top heavy (or "improper) fractions". Now multiply each of the improper fractions by each other - this makes the denominators the same. Now you can add both the fractions together (and cancel down if necessary).

Make sure the denominators of all the fractions are common.Add all numerators.Reduce the final fraction to its simplest form.Convert improper fraction to mixed number if needed.

It is the binary operation of multiplication which has two inputs, at least one of which comprises a mixed fraction: that is, a fraction which consists of an integer part and a part which is a proper fraction.

First convert them t top-heavy fractions. Treat these as you would ordinary fractions: find common denominator and so on. At the end, convert the top heave fraction back to a mixed fraction.

You make it into a improper fraction, then make a common denominator and remember to do what you did to the bottom to the top then solve

Convert the fractions into equivalent fractions with the same denominator. In actually adding mixed numbers, it is easier to convert the mixed numbers into improper (top heavy) fractions, do the addition, simplify the resulting fraction and convert any resulting improper fraction back into a mixed number.

Convert them to improper fractions and proceed.

you would convert the mixed numbers into fractions where the top number is greater than the bottom number, then multiply both the numerator and the denominator by a number that makes the denominators the same.

the same way you always multiply fractions. Change mixed numbers into improper fractions, multiply all numerators to get a new numerator, multiply all denominators to get a new denominator, then reduce the fraction.