To add two mixed numbers, we first need to convert them into improper fractions, then add the fractions and whole numbers separately.
1 2/9 can be written as (9*1 + 2)/9 = 11/9
5 2/3 can be written as (3*5 + 2)/3 = 17/3
Now, we can add the fractions:
11/9 + 17/3 = (11*3 + 17*9)/(9*3) = (33 + 153)/(27) = 186/27
Since 186 and 27 share a common factor of 3, we can simplify the fraction:
186/27 = (6*31)/(3*9) = 62/9
Therefore, 1 2/9 + 5 2/3 = 62/9.
1 2/9+5 2/3
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