Explanation

To solve the equation:

18 1/6 ÷ 2 1/3

First, convert the mixed numbers to improper fractions:

18 1/6 = 109/6

2 1/3 = 7/3

Then, divide the fractions:

(109/6) ÷ (7/3) = (109/6) × (3/7) = 327/42

Simplify the fraction:

327/42 = 109/14

Convert the improper fraction back to a mixed number:

109/14 = 7 11/14