1. Выполните действия: а) 5 \frac{3}{11} + 20 \frac{7}{11}; :6)12 \frac{11}{15} + 6 \frac{4}{15}; в) 17 \frac{17}{19} + 13 \frac{15}{19}. 2. Выполните действия: а) 1 - \frac{9}{25}; 6) 5 - \frac{11}{13}; в) 3 - 1 \frac{15}{22}; г) 5 - 4 \frac{8}{19}. 3. Выполните действия: a) 17 \frac{7}{27} - 3 \frac{2}{27}; 6) 16 \frac{8}{11} - 1 \frac{10}{11}; в) 14 \frac{4}{11} - 13 \frac{6}{11}; г) 18 \frac{21}{25} - 16 \frac{21}{25}. 4. Выполните действия: a) 8 \frac{15}{23} + 17 \frac{14}{23} - 11 \frac{3}{23}; 6) 8 \frac{2}{13} + 4 \frac{5}{13} - 9 \frac{10}{13}.

Ответ:

1. Выполните действия:

• а) \(5 \frac{3}{11} + 20 \frac{7}{11} = (5 + 20) + (\frac{3}{11} + \frac{7}{11}) = 25 + \frac{10}{11} = 25 \frac{10}{11}\)
• б) \(12 \frac{11}{15} + 6 \frac{4}{15} = (12 + 6) + (\frac{11}{15} + \frac{4}{15}) = 18 + \frac{15}{15} = 18 + 1 = 19\)
• в) \(17 \frac{17}{19} + 13 \frac{15}{19} = (17 + 13) + (\frac{17}{19} + \frac{15}{19}) = 30 + \frac{32}{19} = 30 + 1 \frac{13}{19} = 31 \frac{13}{19}\)

2. Выполните действия:

• а) \(1 - \frac{9}{25} = \frac{25}{25} - \frac{9}{25} = \frac{16}{25}\)
• б) \(5 - \frac{11}{13} = \frac{65}{13} - \frac{11}{13} = \frac{54}{13} = 4 \frac{2}{13}\)
• в) \(3 - 1 \frac{15}{22} = 3 - \frac{37}{22} = \frac{66}{22} - \frac{37}{22} = \frac{29}{22} = 1 \frac{7}{22}\)
• г) \(5 - 4 \frac{8}{19} = 5 - \frac{84}{19} = \frac{95}{19} - \frac{84}{19} = \frac{11}{19}\)

3. Выполните действия:

• а) \(17 \frac{7}{27} - 3 \frac{2}{27} = (17 - 3) + (\frac{7}{27} - \frac{2}{27}) = 14 + \frac{5}{27} = 14 \frac{5}{27}\)
• б) \(16 \frac{8}{11} - 1 \frac{10}{11} = (16 - 1) + (\frac{8}{11} - \frac{10}{11}) = 15 - \frac{2}{11} = 14 \frac{11}{11} - \frac{2}{11} = 14 \frac{9}{11}\)
• в) \(14 \frac{4}{11} - 13 \frac{6}{11} = (14 - 13) + (\frac{4}{11} - \frac{6}{11}) = 1 - \frac{2}{11} = \frac{11}{11} - \frac{2}{11} = \frac{9}{11}\)
• г) \(18 \frac{21}{25} - 16 \frac{21}{25} = (18 - 16) + (\frac{21}{25} - \frac{21}{25}) = 2 + 0 = 2\)

4. Выполните действия:

• а) \(8 \frac{15}{23} + 17 \frac{14}{23} - 11 \frac{3}{23} = (8 + 17 - 11) + (\frac{15}{23} + \frac{14}{23} - \frac{3}{23}) = 14 + \frac{26}{23} = 14 + 1 \frac{3}{23} = 15 \frac{3}{23}\)
• б) \(8 \frac{2}{13} + 4 \frac{5}{13} - 9 \frac{10}{13} = (8 + 4 - 9) + (\frac{2}{13} + \frac{5}{13} - \frac{10}{13}) = 3 - \frac{3}{13} = \frac{39}{13} - \frac{3}{13} = \frac{36}{13} = 2 \frac{10}{13}\)

Ответ: 1. a) \(25 \frac{10}{11}\), б) 19, в) \(31 \frac{13}{19}\); 2. a) \(\frac{16}{25}\), б) \(4 \frac{2}{13}\), в) \(1 \frac{7}{22}\), г) \(\frac{11}{19}\); 3. a) \(14 \frac{5}{27}\), б) \(14 \frac{9}{11}\), в) \(\frac{9}{11}\), г) 2; 4. a) \(15 \frac{3}{23}\), б) \(2 \frac{10}{13}\)