Вопрос:

Вычислите: А) 10(3 2/15 - 2 5/18) + 12(1 5/6 + 5 3/4)

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Ответ ассистента

А) $10(\frac{47}{15} - \frac{45}{18}) + 12(\frac{11}{6} + \frac{23}{4}) = 10(\frac{14}{90}) + 12(\frac{22+69}{12}) = 10(\frac{77}{90}) + 12(\frac{91}{12}) = \frac{77}{9} + 91 = 8\frac{5}{9} + 91 = 99\frac{5}{9}$ Б) $44(5\frac{16}{66} - 4\frac{39}{66}) - 5(8\frac{14}{30} - 7\frac{27}{30}) = 44(\frac{43}{66}) - 5(\frac{17}{30}) = \frac{86}{3} - \frac{17}{6} = 28\frac{2}{3} - 2\frac{5}{6} = 25\frac{5}{6}$ В) $(\frac{36+183+132-229}{42}) \cdot 84 - (\frac{30+20+15+12-35}{60}) \cdot 24 = (\frac{122}{42}) \cdot 84 - (\frac{42}{60}) \cdot 24 = \frac{61}{21} \cdot 84 - \frac{7}{10} \cdot 24 = 244 - 16,8 = 227,2 = 227\frac{1}{5}$ Г) $(\frac{6+5}{38}) \cdot 57 + (\frac{21+10}{108}) \cdot 18 - 3(\frac{9+10}{12}) = \frac{11}{38} \cdot 57 + \frac{31}{108} \cdot 18 - 3(\frac{19}{12}) = 16,5 + 5\frac{1}{6} - 4,75 = 16\frac{6}{12} + 5\frac{2}{12} - 4\frac{9}{12} = 16\frac{11}{12}$ Д) $16(5\frac{32}{84} - 3\frac{79}{84}) + 15(\frac{15+10-24}{30}) = 16(1\frac{37}{84}) + 15(\frac{1}{30}) = 16(\frac{121}{84}) + 0,5 = \frac{484}{21} + 0,5 = 23\frac{1}{21} + 0,5 = 23\frac{23}{42}$ Е) $17(5\frac{10}{102} + \frac{21}{102} + 9\frac{96}{102}) - 7(57\frac{20}{84} - 9\frac{11}{84} - 11\frac{7}{84}) = 17(15\frac{25}{102}) - 7(37\frac{1}{42}) = 259\frac{1}{6} - 259\frac{1}{6} = 0$ Ж) $9(5\frac{33}{54} + 4\frac{26}{54}) - 11(4\frac{9}{33} - 3\frac{13}{33}) = 9(10\frac{5}{54}) - 11(\frac{29}{33}) = 90\frac{5}{6} - 9\frac{2}{3} = 81\frac{1}{6}$ Ё) $7(6\frac{16}{42} + 4\frac{33}{42}) - 11(3\frac{6}{44} - 2\frac{37}{44}) = 7(11\frac{1}{6}) - 11(\frac{13}{44}) = 78\frac{1}{6} - 3\frac{1}{4} = 74\frac{11}{12}$

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