Реши пример: (28:1 3/4 +7 1/3:22 +1 2/3*9 3/4+ 14:1 1/2)*3 1/7 / 10 1/2-9 3/4

Решаем пример по действиям: сначала упростим выражение в скобках в числителе и знаменателе дроби, затем выполним деление. 1. $28 : 1 \frac{3}{4} = 28 : \frac{7}{4} = 28 \cdot \frac{4}{7} = 16$ 2. $7 \frac{1}{3} : 22 = \frac{22}{3} : 22 = \frac{22}{3} \cdot \frac{1}{22} = \frac{1}{3}$ 3. $1 \frac{2}{3} \cdot 9 \frac{3}{4} = \frac{5}{3} \cdot \frac{39}{4} = \frac{5 \cdot 13}{4} = \frac{65}{4} = 16 \frac{1}{4}$ 4. $14 : 1 \frac{1}{2} = 14 : \frac{3}{2} = 14 \cdot \frac{2}{3} = \frac{28}{3} = 9 \frac{1}{3}$ 5. $16 + \frac{1}{3} + 16 \frac{1}{4} + 9 \frac{1}{3} = 16 + 16 + 9 + \frac{1}{3} + \frac{1}{3} + \frac{1}{4} = 41 + \frac{2}{3} + \frac{1}{4} = 41 + \frac{8 + 3}{12} = 41 + \frac{11}{12} = 41 \frac{11}{12}$ 6. $10 \frac{1}{2} - 9 \frac{3}{4} = 10 \frac{2}{4} - 9 \frac{3}{4} = 9 \frac{6}{4} - 9 \frac{3}{4} = \frac{3}{4}$ 7. $\frac{41 \frac{11}{12}}{\frac{3}{4}} = \frac{\frac{41 \cdot 12 + 11}{12}}{\frac{3}{4}} = \frac{\frac{492 + 11}{12}}{\frac{3}{4}} = \frac{\frac{503}{12}}{\frac{3}{4}} = \frac{503}{12} \cdot \frac{4}{3} = \frac{503}{3} \cdot \frac{1}{3} = \frac{503}{9} = 55 \frac{8}{9}$ 8. $55 \frac{8}{9} \cdot 3 \frac{1}{7} = \frac{55 \cdot 9 + 8}{9} \cdot \frac{3 \cdot 7 + 1}{7} = \frac{495 + 8}{9} \cdot \frac{21 + 1}{7} = \frac{503}{9} \cdot \frac{22}{7} = \frac{503 \cdot 22}{9 \cdot 7} = \frac{11066}{63} = 175 \frac{41}{63}$ **Ответ: $175 \frac{41}{63}$**