(3 5/12 - 2 2/9) × 12/43 + 2 2/3

(3 5/12 - 2 2/9) × 12/43 + 2 2/3 = 2 13/27 + 2 2/3

To solve this, first convert the mixed fractions to improper fractions: 3 5/12 = (3 × 12 + 5) / 12 = 41/12 2 2/9 = (2 × 9 + 2) / 9 = 20/9 2 2/3 = (2 × 3 + 2) / 3 = 8/3

Now perform the arithmetic: 2 13/27 + 2 2/3 = (41/12 - 20/9) × 12/43 + 8/3 = (123/36 - 40/36) × 12/43 + 8/3 = (83/36) × 12/43 + 8/3 = 996/1548 + 1632/1548 = 2628/1548 = 109/64

The answer is 109/64.