5-4/9 + 7-4 + 3/11 + 3 + 2/7 + 2 6/7

To add the fractions and mixed numbers, we first need to convert all mixed numbers to improper fractions:

5 - 4/9 + 7 - 4 + 3/11 + 3 + 2/7 + 2 6/7
= 5 - 4/9 + 7 - 4 + 3/11 + 3 + 2/7 + 2 6/7
= 5 - 4/9 + 7 - 4 + 3/11 + 3 + 2/7 + 20/7

Now, add the fractions and whole numbers separately:

5 + 7 + 3 + 3 + 2 + 20/7 - 4/9 - 4 - 3/11
= 20 + 20/7 - 4/9 - 4 - 3/11

Now, find a common denominator for the fractions:

20 + 20/7 - 4/9 - 4 - 3/11
Common denominator = 63

Convert fractions to have a common denominator of 63:

20 + 20(9)/7(9) - 4(7)/9(7) - 4(63)/63 - 3(63)/11(63)
= 20 + 180/63 - 28/63 - 252/63 - 189/63
= 20 + 180 - 28 - 252 - 189 / 63
= 100 / 63

Therefore, the sum is 100/63 or approximately 1.587.