(12 1/9 - 10 2/5) : 38 1/2 + 2 8/9 * 18 = 52 2/45
1. (12 1/9 - 10 2/5) = 109/9 - 52/5 = (109 * 5 - 52 * 9)/45 = (545 - 468)/45 = 77/45
2. 77/45 : 38 1/2 = 77/45 : 77/2 = 77/45 * 2/77 = 2/45
3. 2 8/9 * 18 = 26/9 * 18 = 26 * 2 = 52
4. 2/45 + 52 = 52 2/45