1205. Выполните действия: a) 11\frac{2}{7} + 4\frac{3}{7} - 6\frac{4}{7}; б) 26\frac{7}{19} - 13\frac{4}{19} + 5\frac{2}{19}; B) 44\frac{2}{9} + 8\frac{5}{9} - 7\frac{7}{9}; г) 5\frac{7}{10} + 3\frac{9}{10} + 1\frac{3}{10}; д) 3\frac{17}{100} - 2\frac{13}{100} - 1; e) 8 - 4\frac{31}{100} - 2\frac{57}{100}.

Ответ: a) 9\frac{1}{7}; б) 18\frac{5}{19}; в) 45; г) 11\frac{9}{10}; д) \frac{4}{100}; е) \frac{12}{100}

a) 11\frac{2}{7} + 4\frac{3}{7} - 6\frac{4}{7} = (11 + 4 - 6) + (\frac{2}{7} + \frac{3}{7} - \frac{4}{7}) = 9 + \frac{1}{7} = 9\frac{1}{7}

б) 26\frac{7}{19} - 13\frac{4}{19} + 5\frac{2}{19} = (26 - 13 + 5) + (\frac{7}{19} - \frac{4}{19} + \frac{2}{19}) = 18 + \frac{5}{19} = 18\frac{5}{19}

в) 44\frac{2}{9} + 8\frac{5}{9} - 7\frac{7}{9} = (44 + 8 - 7) + (\frac{2}{9} + \frac{5}{9} - \frac{7}{9}) = 45 + 0 = 45

г) 5\frac{7}{10} + 3\frac{9}{10} + 1\frac{3}{10} = (5 + 3 + 1) + (\frac{7}{10} + \frac{9}{10} + \frac{3}{10}) = 9 + \frac{19}{10} = 9 + 1\frac{9}{10} = 10\frac{9}{10}

д) 3\frac{17}{100} - 2\frac{13}{100} - 1 = (3 - 2 - 1) + (\frac{17}{100} - \frac{13}{100}) = 0 + \frac{4}{100} = \frac{4}{100}

е) 8 - 4\frac{31}{100} - 2\frac{57}{100} = (8 - 4 - 2) - (\frac{31}{100} + \frac{57}{100}) = 2 - \frac{88}{100} = 1\frac{100}{100} - \frac{88}{100} = 1\frac{12}{100}

Ответ: a) 9\frac{1}{7}; б) 18\frac{5}{19}; в) 45; г) 11\frac{9}{10}; д) \frac{4}{100}; е) \frac{12}{100}