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 numbers
2/3 + 2/3 = 4/3
Convert 4/3 to a mixed number
4/3 = 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
Adding Mixed Numbers
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