Q: Adding mixed numbers with unlike denominators?

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the fractions have different denominators

common denominators.

just change the fration with the smallest denominator and add or subtract the way you always do.

No

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.

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the fractions have different denominators

the denominators

False [ I THINK ]

common denominators.

Convert them to improper fractions with common denominators and proceed with the adding and subtracting.

just change the fration with the smallest denominator and add or subtract the way you always do.

No

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.

when you add mixed numbers you have a whole number but adding fraction does not.

Because common denominators allow adding and subtracting of numerators. Improper fractions also have simplified rules over mixed numbers when performing multiplication and division.

Mixed numbers can be converted to improper fractions. Then, it is exactly the same as adding proper ones.

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.