№4 4 3 3 1 1) 12음 3-4-4:27 2 113:27 4 5 3 28:13+6: 2) 1 1 1 116:24 3 3 3 7 (1 +:4+242 4) 4 7 3) 78-157:24 14-15-2음 8 2

№4

1. \[\frac{12\frac{4}{5} \cdot 3\frac{3}{4} - 4\frac{1}{8}}{11\frac{2}{11} : 2\frac{4}{7}} = \frac{\frac{64}{5} \cdot \frac{15}{4} - \frac{33}{8}}{\frac{123}{11} : \frac{18}{7}} = \frac{\frac{16 \cdot 3}{1} - \frac{33}{8}}{\frac{123}{11} \cdot \frac{7}{18}} = \frac{\frac{48 \cdot 8 - 33}{8}}{\frac{123 \cdot 7}{11 \cdot 18}} = \frac{\frac{384 - 33}{8}}{\frac{861}{198}} = \frac{\frac{351}{8}}{\frac{287}{66}} = \frac{351}{8} \cdot \frac{66}{287} = \frac{351 \cdot 33}{4 \cdot 287} = \frac{11583}{1148} = 10\frac{1103}{1148}\]
2. \[\frac{28\frac{4}{5} : 13\frac{5}{7} + 6\frac{3}{2} : \frac{2}{3}}{1\frac{11}{16} : 2\frac{1}{4}} = \frac{\frac{144}{5} : \frac{96}{7} + \frac{15}{2} \cdot \frac{3}{2}}{\frac{27}{16} : \frac{9}{4}} = \frac{\frac{144}{5} \cdot \frac{7}{96} + \frac{45}{4}}{\frac{27}{16} \cdot \frac{4}{9}} = \frac{\frac{3 \cdot 7}{5 \cdot 2} + \frac{45}{4}}{\frac{3}{4}} = \frac{\frac{21}{10} + \frac{45}{4}}{\frac{3}{4}} = \frac{\frac{21 \cdot 2 + 45 \cdot 5}{20}}{\frac{3}{4}} = \frac{\frac{42 + 225}{20}}{\frac{3}{4}} = \frac{\frac{267}{20}}{\frac{3}{4}} = \frac{267}{20} \cdot \frac{4}{3} = \frac{89}{5} \cdot \frac{1}{1} = \frac{89}{5} = 17\frac{4}{5}\]
3. \[2\frac{3}{8} : \frac{3}{4} + 24\frac{7}{9} : (7\frac{1}{8} - 157 : 24) = \frac{19}{8} : \frac{3}{4} + \frac{223}{9} : (\frac{57}{8} - \frac{157}{5} \cdot \frac{1}{24}) = \frac{19}{8} \cdot \frac{4}{3} + \frac{223}{9} : (\frac{57}{8} - \frac{157}{120}) = \frac{19}{2} \cdot \frac{1}{3} + \frac{223}{9} : (\frac{57 \cdot 15 - 157}{120}) = \frac{19}{6} + \frac{223}{9} : (\frac{855 - 157}{120}) = \frac{19}{6} + \frac{223}{9} : \frac{698}{120} = \frac{19}{6} + \frac{223}{9} \cdot \frac{60}{349} = \frac{19}{6} + \frac{223 \cdot 20}{3 \cdot 349} = \frac{19}{6} + \frac{4460}{1047} = \frac{19}{6} + \frac{4460}{1047} = \frac{19 \cdot 349 + 4460 \cdot 2}{2094} = \frac{6631 + 8920}{2094} = \frac{15551}{2094} = 7\frac{833}{2094}\]
4. \[(\frac{1}{2} + 2\frac{2}{3} + 3\frac{3}{4}) \cdot 3\frac{3}{5} : (14 - 15\frac{1}{8} : 2\frac{1}{5}) = (\frac{1}{2} + \frac{8}{3} + \frac{15}{4}) \cdot \frac{18}{5} : (14 - \frac{121}{8} : \frac{11}{5}) = (\frac{6 + 32 + 45}{12}) \cdot \frac{18}{5} : (14 - \frac{121}{8} \cdot \frac{5}{11}) = \frac{83}{12} \cdot \frac{18}{5} : (14 - \frac{11}{8} \cdot \frac{5}{1}) = \frac{83}{2} \cdot \frac{3}{5} : (14 - \frac{55}{8}) = \frac{249}{10} : (\frac{112 - 55}{8}) = \frac{249}{10} : \frac{57}{8} = \frac{249}{10} \cdot \frac{8}{57} = \frac{83}{5} \cdot \frac{4}{19} = \frac{332}{95} = 3\frac{47}{95}\]