1. Convert decimals and mixed numbers to fractions: (2314/1000 - 1/4) : 1/50 + (27/16 + 7125/10000) : 3
2. Simplify within parentheses: (1157/500 - 125/500) : 1/50 + (27/16 + 57/80) : 3 = (1032/500) : 1/50 + (135/80 + 57/80) : 3 = (258/125) : 1/50 + (192/80) : 3 = (258/125) * 50 + (12/5) : 3
3. Perform division and multiplication: 516/5 + 12/15 = 516/5 + 4/5 = 520/5 = 104