Adding Mixed Numbers with the same Denominator

Mixed numbers consist of an integer followed by a fraction.

    How to add two mixed numbers whose fractions have the same denominator:
  • Add the numerators of the two fractions
  • Place that sum over the common denominator.
  • If this fraction is improper (numerator larger than or equal to the denominator) then convert it to a mixed number
  • Add the integer portions of the two mixed numbers
  • If adding the fractional parts created a mixed number then add its integer portion to the sum.

Example: 3 2/3 + 5 2/3 =

Add the fractional part of the mixed numbers2/3 + 2/3 = 4/3
Convert 4/3 to a mixed number4/3 = 1  1/3
Add the integer portions of the mixed numbers 3 + 5 = 8
Add the integer from the sum of the fractions 8 + 1 = 9
State the final answer: 9  1/3

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Adding Mixed Numbers



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