3. Найдите значение выражения.

Привет! Давай решим эти примеры на вычитание смешанных чисел. Главное правило: привести дробные части к общему знаменателю. а) $9\frac{11}{42} - 5\frac{11}{14} = 9\frac{11}{42} - 5\frac{33}{42} = 8\frac{42+11}{42} - 5\frac{33}{42} = 8\frac{53}{42} - 5\frac{33}{42} = 3\frac{20}{42} = 3\frac{10}{21}$ б) $15\frac{7}{24} - 11\frac{31}{36} = 15\frac{21}{72} - 11\frac{62}{72} = 14\frac{72+21}{72} - 11\frac{62}{72} = 14\frac{93}{72} - 11\frac{62}{72} = 3\frac{31}{72}$ в) $1\frac{121}{360} - \frac{41}{48} = 1\frac{121}{360} - \frac{307.5}{360}$ (тут удобнее домножить: $48 \cdot 7.5 = 360$). Проще привести к знаменателю 720: $1\frac{242}{720} - \frac{615}{720} = \frac{720+242-615}{720} = \frac{347}{720}$ г) $5\frac{3}{11} - 4\frac{35}{66} = 5\frac{18}{66} - 4\frac{35}{66} = 4\frac{66+18}{66} - 4\frac{35}{66} = \frac{84-35}{66} = \frac{49}{66}$ д) $504\frac{11}{14} - 385\frac{15}{28} = 504\frac{22}{28} - 385\frac{15}{28} = 119\frac{7}{28} = 119\frac{1}{4}$ е) $90\frac{23}{60} - 48\frac{11}{12} = 90\frac{23}{60} - 48\frac{55}{60} = 89\frac{60+23}{60} - 48\frac{55}{60} = 41\frac{28}{60} = 41\frac{7}{15}$ ж) $120\frac{53}{102} - 107\frac{9}{34} = 120\frac{53}{102} - 107\frac{27}{102} = 13\frac{26}{102} = 13\frac{13}{51}$ з) $16\frac{19}{144} - 10\frac{7}{60}$. НОК(144, 60) = 720. $16\frac{95}{720} - 10\frac{84}{720} = 6\frac{11}{720}$ и) $105\frac{2}{17} - 3\frac{1}{13} = 105\frac{26}{221} - 3\frac{17}{221} = 102\frac{9}{221}$ к) $30\frac{7}{99} - 25\frac{5}{121} = 30\frac{77}{1089} - 25\frac{45}{1089} = 5\frac{32}{1089}$ л) $11\frac{21}{140} - 1\frac{11}{60} = 11\frac{3}{20} - 1\frac{11}{60} = 11\frac{9}{60} - 1\frac{11}{60} = 10\frac{69}{60} - 1\frac{11}{60} = 9\frac{58}{60} = 9\frac{29}{30}$ м) $4\frac{5}{246} - 3\frac{9}{492} = 4\frac{10}{492} - 3\frac{9}{492} = 1\frac{1}{492}$ н) $100\frac{7}{32} - 90\frac{2}{3} = 100\frac{21}{96} - 90\frac{64}{96} = 99\frac{96+21}{96} - 90\frac{64}{96} = 9\frac{53}{96}$