37\(\frac{9}{13}\) - 13\(\frac{6}{13}\) + 7\(\frac{2}{13}\) = (37 - 13 + 7) + (\(\frac{9}{13}\) - \(\frac{6}{13}\) + \(\frac{2}{13}\)) = 31 + \(\frac{5}{13}\) = 31\(\frac{5}{13}\)
б) 21\(\frac{2}{9}\) + 4\(\frac{5}{6}\) - 5\(\frac{4}{9}\) = (21 + 4 - 5) + (\(\frac{2}{9}\) + \(\frac{5}{6}\) - \(\frac{4}{9}\)) = 20 + (\(\frac{4}{18}\) + \(\frac{15}{18}\) - \(\frac{8}{18}\)) = 20 + \(\frac{11}{18}\) = 20\(\frac{11}{18}\)
в) 54\(\frac{3}{11}\) + 8\(\frac{5}{11}\) + \(\frac{3}{22}\) = (54 + 8) + (\(\frac{3}{11}\) + \(\frac{5}{11}\) + \(\frac{3}{22}\)) = 62 + (\(\frac{6}{22}\) + \(\frac{10}{22}\) + \(\frac{3}{22}\)) = 62 + \(\frac{19}{22}\) = 62\(\frac{19}{22}\)
г) 6\(\frac{9}{10}\) + 2\(\frac{7}{10}\) + 4\(\frac{1}{10}\) = (6 + 2 + 4) + (\(\frac{9}{10}\) + \(\frac{7}{10}\) + \(\frac{1}{10}\)) = 12 + \(\frac{17}{10}\) = 12 + 1\(\frac{7}{10}\) = 13\(\frac{7}{10}\)
д) 14\(\frac{23}{100}\) - 3\(\frac{11}{100}\) - 1 = (14 - 3 - 1) + (\(\frac{23}{100}\) - \(\frac{11}{100}\)) = 10 + \(\frac{12}{100}\) = 10\(\frac{3}{25}\)
е) 10 - 5\(\frac{39}{100}\) - 2\(\frac{56}{100}\) = (10 - 5 - 2) + (- \(\frac{39}{100}\) - \(\frac{56}{100}\)) = 3 - \(\frac{95}{100}\) = 2\(\frac{105}{100}\) - \(\frac{95}{100}\) = 2\(\frac{1}{20}\)
Ответ: а) 31\(\frac{5}{13}\); б) 20\(\frac{11}{18}\); в) 62\(\frac{19}{22}\); г) 13\(\frac{7}{10}\); д) 10\(\frac{3}{25}\); е) 2\(\frac{1}{20}\)