1. Вычислите наиболее удобным способом: a) (3/8+5/6)*24 б) 101 47/50 - 250 в) 3 4/7 * 9 16/17 + 3 4/7 * 7 1/17 г) 9 3/4 * 10 15/26 - 10 4/13 * 9 3/4

а)

\[(\frac{3}{8} + \frac{5}{6}) \cdot 24 = (\frac{9}{24} + \frac{20}{24}) \cdot 24 = \frac{29}{24} \cdot 24 = 29\]

Ответ: 29

б)

\[101\frac{47}{50} - 250 = 101 + \frac{47}{50} - 250 = 101 - 250 + \frac{47}{50} = -149 + \frac{47}{50} = -149 + \frac{47}{50} = -148 - 1 + \frac{47}{50} = -148 - \frac{50}{50} + \frac{47}{50} = -148 - \frac{3}{50} = -148\frac{3}{50}\]

Ответ: -148 3/50

в)

\[3\frac{4}{7} \cdot 9\frac{16}{17} + 3\frac{4}{7} \cdot 7\frac{1}{17} = 3\frac{4}{7} \cdot (9\frac{16}{17} + 7\frac{1}{17}) = 3\frac{4}{7} \cdot (9 + 7 + \frac{16}{17} + \frac{1}{17}) = 3\frac{4}{7} \cdot (16 + \frac{17}{17}) = 3\frac{4}{7} \cdot (16 + 1) = 3\frac{4}{7} \cdot 17 = \frac{25}{7} \cdot 17 = \frac{425}{7} = 60\frac{5}{7}\]

Ответ: 60 5/7

г)

\[9\frac{3}{4} \cdot 10\frac{15}{26} - 10\frac{4}{13} \cdot 9\frac{3}{4} = 9\frac{3}{4} \cdot (10\frac{15}{26} - 10\frac{4}{13}) = 9\frac{3}{4} \cdot (10 + \frac{15}{26} - 10 - \frac{4}{13}) = 9\frac{3}{4} \cdot (\frac{15}{26} - \frac{4}{13}) = 9\frac{3}{4} \cdot (\frac{15}{26} - \frac{8}{26}) = 9\frac{3}{4} \cdot \frac{7}{26} = \frac{39}{4} \cdot \frac{7}{26} = \frac{3 \cdot 7}{4 \cdot 2} = \frac{21}{8} = 2\frac{5}{8}\]

Ответ: 2 5/8