2 1/3 + 11/14 * 1 13/22 - 3 2/7 : 46/63

1. Convert mixed numbers to improper fractions: 7/3 + 11/14 * 35/22 - 23/7 : 46/63.
2. Perform multiplication: 7/3 + (11*35)/(14*22) - 23/7 : 46/63 = 7/3 + 385/308 - 23/7 : 46/63.
3. Simplify multiplication result: 7/3 + 5/4 - 23/7 : 46/63.
4. Perform division: 7/3 + 5/4 - (23/7) * (63/46) = 7/3 + 5/4 - (23*63)/(7*46) = 7/3 + 5/4 - 1449/322.
5. Simplify division result: 7/3 + 5/4 - 9/2.
6. Find a common denominator (12): (7*4)/12 + (5*3)/12 - (9*6)/12 = 28/12 + 15/12 - 54/12.
7. Combine fractions: (28 + 15 - 54)/12 = (43 - 54)/12 = -11/12.