Answer: 6 and 5/12
Step-by-step explanation: To add mixed numbers, first add the fractions.
Since 3/7 and 1/3 are unlike fractions, we need a common denominator which in this case is 12.
If we multiply 2/3 by 4 in both the numerator and denominator, we get the equivalent fraction 8/12.
If we multiply 3/4 by 3 in both the numerator and denominator, we get the equivalent fraction 9/12.
Now we can add 8/12 + 9/12 to get 17/12. Remember, we can add like fractions by simply adding across the numerators and keeping the same denominator.
Therefore, 3 and 2/3 + 2 and 3/4 is equal to 5 and 17/12.
Now, 17/12 can be converted into 1 and 5/12 b dividing the denominator into the numerator.
Finally, we add the whole numbers.
5 + 1 = 6
Therefore, 3 and 2/3 + 2 and 3/4 is equal to 6 and 5/12.