Краткое пояснение: Решим данные примеры, выполнив сложение целых чисел и дробей.
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\(5 + 2 \frac{3}{4} - 5 + 2 + \frac{3}{4} - 7 + \frac{3}{4} - 7 \frac{3}{4} = (5-5+2+2-7-7) + (\frac{3}{4} + \frac{3}{4} + \frac{3}{4} - \frac{3}{4}) = -5 + \frac{6}{4} = -5 + 1 \frac{1}{2} = -3 \frac{1}{2}\)
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\(3 + 1 \frac{2}{7} = 4 \frac{2}{7}\)
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\(4 + 2 \frac{3}{11} = 6 \frac{3}{11}\)
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\(6 \frac{3}{7} + 2 = 6 + \frac{3}{7} + 2 = 6 + 2 + \frac{3}{7} = 8 \frac{3}{7}\)
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\(1 \frac{4}{5} + 3 = 4 \frac{4}{5}\)
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\(2 \frac{8}{13} + 2 = 4 \frac{8}{13}\)
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\(5 \frac{11}{20} + 7 = 12 \frac{11}{20}\)
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\(10 \frac{14}{33} + 12 = 22 \frac{14}{33}\)
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\(14 \frac{17}{18} + 16 = 30 \frac{17}{18}\)
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\(15 + 25 \frac{3}{29} = 40 \frac{3}{29}\)
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\(2 \frac{3}{9} + \frac{4}{9} - 2 + \frac{3}{9} + \frac{4}{9} - 2 + \frac{7}{9} = (2 - 2 - 2) + (\frac{3}{9} + \frac{4}{9} + \frac{3}{9} + \frac{4}{9} + \frac{7}{9}) = -2 + \frac{21}{9} = -2 + 2 \frac{3}{9} = \frac{3}{9} = \frac{1}{3}\)
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\(1 \frac{6}{11} + \frac{3}{11} = 1 + \frac{6}{11} + \frac{3}{11} = 1 + \frac{9}{11} = 1 \frac{9}{11}\)
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\(8 \frac{1}{7} + \frac{5}{7} = 8 + \frac{1}{7} + \frac{5}{7} = 8 + \frac{6}{7} = 8 \frac{6}{7}\)
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\(3 \frac{6}{13} + \frac{5}{13} = 3 + \frac{6}{13} + \frac{5}{13} = 3 + \frac{11}{13} = 3 \frac{11}{13}\)
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\(\frac{3}{11} + 4 \frac{2}{11} = 4 + \frac{3}{11} + \frac{2}{11} = 4 + \frac{5}{11} = 4 \frac{5}{11}\)
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\(\frac{2}{7} + 3 \frac{5}{7} = 3 + \frac{2}{7} + \frac{5}{7} = 3 + \frac{7}{7} = 3 + 1 = 4\)
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\(\frac{8}{21} + 5 \frac{8}{21} = 5 + \frac{8}{21} + \frac{8}{21} = 5 + \frac{16}{21} = 5 \frac{16}{21}\)
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\(2 \frac{11}{13} + \frac{2}{13} = 2 + \frac{11}{13} + \frac{2}{13} = 2 + \frac{13}{13} = 2 + 1 = 3\)
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\(16 \frac{6}{13} + 17 = 16 + \frac{6}{13} + 17 = 33 \frac{6}{13}\)
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\(4 \frac{18}{37} + \frac{18}{37} = 4 + \frac{18}{37} + \frac{18}{37} = 4 + \frac{36}{37} = 4 \frac{36}{37}\)
Ответ: См. решение выше