To solve the expression 5/6 + 1/3, we need to find a common denominator. The least common multiple of 6 and 3 is 6.

Converting 5/6 to have a denominator of 6, we get 5/6 = 5/6 * 1/1 = 5/6.

Converting 1/3 to have a denominator of 6, we get 1/3 = 1/3 * 2/2 = 2/6.

Now we can add the fractions: 5/6 + 2/6 = (5 + 2)/6 = 7/6.

Therefore, 5/6 + 1/3 = 7/6.

To solve the expression 2 2/3 + 11/2, we need to convert the mixed number to an improper fraction.

2 2/3 = 2 + 2/3 = 6/3 + 2/3 = 8/3.

Now we can add the fractions: 8/3 + 11/2.

To find a common denominator, we multiply the denominators: 3 * 2 = 6.

Converting 8/3 to have a denominator of 6, we get 8/3 = 8/3 * 2/2 = 16/6.

Now we can add the fractions: 16/6 + 11/2 = (16 + 33)/6 = 49/6.

Therefore, 2 2/3 + 11/2 = 49/6.