2 1/6 / 1 1/3

To divide 2 1/6 by 1 1/3, we need to convert both mixed numbers into improper fractions.

2 1/6 = (2 * 6 + 1) / 6 = 13/6
1 1/3 = (1 * 3 + 1) / 3 = 4/3

Now, we can divide 13/6 by 4/3:

(13/6) / (4/3) = (13/6) * (3/4) = (13 * 3) / (6 * 4) = 39/24

However, 39 and 24 have a common factor of 3. Let's simplify the fraction:

39/24 = (39/3) / (24/3) = 13/8

Therefore, 2 1/6 / 1 1/3 = 13/8.