Решение заданий на вычитание смешанных чисел:

a) $$1-\frac{4}{17} = \frac{17}{17}-\frac{4}{17} = \frac{13}{17}$$

б) $$5-\frac{7}{13} = \frac{5*13}{13}-\frac{7}{13} = \frac{65}{13}-\frac{7}{13} = \frac{58}{13} = 4\frac{6}{13}$$

в) $$6-5\frac{6}{11} = 6 - \frac{5*11+6}{11} = 6 - \frac{61}{11} = \frac{6*11}{11} - \frac{61}{11} = \frac{66}{11} - \frac{61}{11} = \frac{5}{11}$$

г) $$4\frac{5}{9}-3 = (4-3)+\frac{5}{9} = 1+\frac{5}{9} = 1\frac{5}{9}$$

д) $$4\frac{9}{16}-2\frac{3}{14} = \frac{4*16+9}{16} - \frac{2*14+3}{14} = \frac{73}{16} - \frac{31}{14} = \frac{73*14}{16*14} - \frac{31*16}{14*16} = \frac{1022}{224} - \frac{496}{224} = \frac{526}{224} = \frac{263}{112} = 2\frac{39}{112}$$

е) $$11\frac{7}{32}-9\frac{11}{64} = \frac{11*32+7}{32} - \frac{9*64+11}{64} = \frac{359}{32} - \frac{587}{64} = \frac{359*2}{32*2} - \frac{587}{64} = \frac{718}{64} - \frac{587}{64} = \frac{131}{64} = 2\frac{3}{64}$$

ж) $$17\frac{2}{3}-6\frac{7}{8} = \frac{17*3+2}{3} - \frac{6*8+7}{8} = \frac{53}{3} - \frac{55}{8} = \frac{53*8}{3*8} - \frac{55*3}{8*3} = \frac{424}{24} - \frac{165}{24} = \frac{259}{24} = 10\frac{19}{24}$$

з) $$24\frac{7}{15}-15\frac{5}{12} = \frac{24*15+7}{15} - \frac{15*12+5}{12} = \frac{367}{15} - \frac{185}{12} = \frac{367*4}{15*4} - \frac{185*5}{12*5} = \frac{1468}{60} - \frac{925}{60} = \frac{543}{60} = \frac{181}{20} = 9\frac{1}{20}$$