To add the fractions 2 2/3 and 2 1/6, you first need to convert them to improper fractions.
2 2/3 = 8/3
2 1/6 = 13/6
Now, add the two fractions:
8/3 + 13/6
To add fractions with different denominators, you need to find a common denominator. In this case, the least common multiple (LCM) of 3 and 6 is 6.
Now, rewrite both fractions with a denominator of 6:
8/3 = (8/3)*(2/2) = 16/6
13/6 = 13/6
Now, add the fractions:
16/6 + 13/6 = (16 + 13)/6 = 29/6
Therefore, 2 2/3 + 2 1/6 = 29/6.
2 2/3+ 2 1/6
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