Выполните вычитание: a) 1-\frac{4}{9} б) 4-3\frac{3}{4} д) 7\frac{1}{10}-3\frac{1}{6} б) 8\frac{8}{15}-4\frac{9}{20} г) 9\frac{4}{21}-4\frac{11}{14} e) 5\frac{5}{33}-4\frac{7}{22}

a) 1-\frac{4}{9} = \frac{9}{9} - \frac{4}{9} = \frac{5}{9}

Ответ: \frac{5}{9}

б) 4-3\frac{3}{4} = 4 - \frac{3*4+3}{4} = 4 - \frac{15}{4} = \frac{4*4}{4} - \frac{15}{4} = \frac{16}{4} - \frac{15}{4} = \frac{1}{4}

Ответ: \frac{1}{4}

д) 7\frac{1}{10}-3\frac{1}{6} = \frac{7*10+1}{10} - \frac{3*6+1}{6} = \frac{71}{10} - \frac{19}{6} = \frac{71*3}{10*3} - \frac{19*5}{6*5} = \frac{213}{30} - \frac{95}{30} = \frac{118}{30} = \frac{59}{15} = 3\frac{14}{15}

Ответ: 3\frac{14}{15}

б) 8\frac{8}{15}-4\frac{9}{20} =\frac{8*15+8}{15} - \frac{4*20+9}{20} = \frac{128}{15} - \frac{89}{20} = \frac{128*4}{15*4} - \frac{89*3}{20*3} = \frac{512}{60} - \frac{267}{60} = \frac{245}{60} = \frac{49}{12} = 4\frac{1}{12}

Ответ: 4\frac{1}{12}

г) 9\frac{4}{21}-4\frac{11}{14} = \frac{9*21+4}{21} - \frac{4*14+11}{14} = \frac{193}{21} - \frac{67}{14} = \frac{193*2}{21*2} - \frac{67*3}{14*3} = \frac{386}{42} - \frac{201}{42} = \frac{185}{42} = 4\frac{17}{42}

Ответ: 4\frac{17}{42}

e) 5\frac{5}{33}-4\frac{7}{22} = \frac{5*33+5}{33} - \frac{4*22+7}{22} = \frac{170}{33} - \frac{95}{22} = \frac{170*2}{33*2} - \frac{95*3}{22*3} = \frac{340}{66} - \frac{285}{66} = \frac{55}{66} = \frac{5}{6}

Ответ: \frac{5}{6}