Решаю по порядку примеры с картинки:
а) $4\frac{3}{11} + 2\frac{10}{11} = (4 + 2) + (\frac{3}{11} + \frac{10}{11}) = 6 + \frac{13}{11} = 6 + 1\frac{2}{11} = 7\frac{2}{11}$
б) $5 - 4\frac{3}{44} = 4\frac{44}{44} - 4\frac{3}{44} = \frac{41}{44}$
в) $15 - 14\frac{3}{442} = 14\frac{442}{442} - 14\frac{3}{442} = \frac{439}{442}$
г) $7\frac{4}{9} - 5\frac{8}{9} = 6\frac{13}{9} - 5\frac{8}{9} = (6 - 5) + (\frac{13}{9} - \frac{8}{9}) = 1 + \frac{5}{9} = 1\frac{5}{9}$
д) $5\frac{7}{8} + 5\frac{5}{8} = (5 + 5) + (\frac{7}{8} + \frac{5}{8}) = 10 + \frac{12}{8} = 10 + 1\frac{4}{8} = 11\frac{1}{2}$
е) $7\frac{8}{9} - 5\frac{4}{9} = (7 - 5) + (\frac{8}{9} - \frac{4}{9}) = 2 + \frac{4}{9} = 2\frac{4}{9}$
ё) $7\frac{4}{15} + 9\frac{7}{15} = (7 + 9) + (\frac{4}{15} + \frac{7}{15}) = 16 + \frac{11}{15} = 16\frac{11}{15}$
ж) $12\frac{6}{7} - 4\frac{5}{7} = (12 - 4) + (\frac{6}{7} - \frac{5}{7}) = 8 + \frac{1}{7} = 8\frac{1}{7}$
з) $12\frac{4}{9} + 7\frac{7}{9} - 5\frac{2}{9} - 6\frac{8}{9} = (12 + 7 - 5 - 6) + (\frac{4}{9} + \frac{7}{9} - \frac{2}{9} - \frac{8}{9}) = 8 + \frac{1}{9} = 8\frac{1}{9}$
и) $7\frac{12}{25} + 99\frac{19}{25} - 105\frac{24}{25} = (7 + 99 - 105) + (\frac{12}{25} + \frac{19}{25} - \frac{24}{25}) = 1 + \frac{7}{25} = 1\frac{7}{25}$
й) $8\frac{3}{19} + 7\frac{16}{19} = (8 + 7) + (\frac{3}{19} + \frac{16}{19}) = 15 + \frac{19}{19} = 16$
к) $111\frac{1}{2} + 112\frac{1}{2} = (111 + 112) + (\frac{1}{2} + \frac{1}{2}) = 223 + 1 = 224$
л) $4\frac{8}{11} + 5\frac{3}{11} = (4 + 5) + (\frac{8}{11} + \frac{3}{11}) = 9 + \frac{11}{11} = 10$
м) $19\frac{3}{10} - 9\frac{9}{10} + 7\frac{1}{10} - 1\frac{5}{10} = (19 - 9 + 7 - 1) + (\frac{3}{10} - \frac{9}{10} + \frac{1}{10} - \frac{5}{10}) = 16 - \frac{10}{10} = 15$
н) $24 - 7\frac{5}{6} - 5\frac{4}{6} = 24 - (7 + 5) - (\frac{5}{6} + \frac{4}{6}) = 24 - 12 - \frac{9}{6} = 12 - 1\frac{3}{6} = 10\frac{3}{6} = 10\frac{1}{2}$
о) $4\frac{7}{12} - 1\frac{5}{12} + 2\frac{11}{12} = (4 - 1 + 2) + (\frac{7}{12} - \frac{5}{12} + \frac{11}{12}) = 5 + \frac{13}{12} = 6\frac{1}{12}$
п) $17 - 16\frac{3}{64} = 16\frac{64}{64} - 16\frac{3}{64} = \frac{61}{64}$
р) $7\frac{5}{17} + 6\frac{3}{17} = (7 + 6) + (\frac{5}{17} + \frac{3}{17}) = 13 + \frac{8}{17} = 13\frac{8}{17}$
с) $1 - \frac{648}{987} = \frac{987}{987} - \frac{648}{987} = \frac{339}{987} = \frac{113}{329}$
т) $6\frac{3}{5} + 7\frac{1}{5} - 5\frac{5}{5} = (6 + 7 - 5) + (\frac{3}{5} + \frac{1}{5} - \frac{5}{5}) = 8 - \frac{1}{5} = 7\frac{4}{5}$
у) $6\frac{14}{15} - 3\frac{2}{15} - 1\frac{7}{15} = (6 - 3 - 1) + (\frac{14}{15} - \frac{2}{15} - \frac{7}{15}) = 2 + \frac{5}{15} = 2\frac{1}{3}$
ф) $34\frac{1}{13} - 5\frac{10}{13} - 8\frac{11}{13} = 33\frac{14}{13} - 5\frac{10}{13} - 8\frac{11}{13} = (33 - 5 - 8) + (\frac{14}{13} - \frac{10}{13} - \frac{11}{13}) = 20 - \frac{7}{13} = 19\frac{6}{13}$
х) $45 - 8\frac{13}{20} + 9\frac{14}{20} - 39\frac{19}{20} = (45 - 8 + 9 - 39) + (-\frac{13}{20} + \frac{14}{20} - \frac{19}{20}) = 7 - \frac{18}{20} = 6\frac{2}{20} = 6\frac{1}{10}$
ц) $20\frac{557}{1000} + 36\frac{443}{1000} = (20 + 36) + (\frac{557}{1000} + \frac{443}{1000}) = 56 + \frac{1000}{1000} = 57$
Все примеры решены!
