1) 1 17/55 * 4 13/16

1) $1\frac{17}{55} \cdot 4\frac{13}{16} = \frac{72}{55} \cdot \frac{77}{16} = \frac{9}{5} \cdot \frac{7}{2} = \frac{63}{10} = 6,3$. 2) $1\frac{29}{52} : 1\frac{5}{13} = \frac{81}{52} : \frac{18}{13} = \frac{81}{52} \cdot \frac{13}{18} = \frac{9}{4} \cdot \frac{1}{2} = \frac{9}{8} = 1\frac{1}{8}$. 3) $1\frac{4}{45} : 4\frac{1}{5} \cdot 19\frac{2}{7} = \frac{49}{45} : \frac{21}{5} \cdot \frac{135}{7} = \frac{49}{45} \cdot \frac{5}{21} \cdot \frac{135}{7} = (\frac{49}{21} \cdot \frac{5}{45}) \cdot \frac{135}{7} = (\frac{7}{3} \cdot \frac{1}{9}) \cdot \frac{135}{7} = \frac{7}{27} \cdot \frac{135}{7} = 5$. 4) $3\frac{6}{7} + 4\frac{5}{7} = 7\frac{11}{7} = 8\frac{4}{7}$. 5) $99 - 17\frac{7}{11} = 98\frac{11}{11} - 17\frac{7}{11} = 81\frac{4}{11}$. 6) $25\frac{1}{8} - 5\frac{7}{8} = 24\frac{9}{8} - 5\frac{7}{8} = 19\frac{2}{8} = 19\frac{1}{4}$. 7) $6\frac{4}{5} + 4\frac{5}{6} = 6\frac{24}{30} + 4\frac{25}{30} = 10\frac{49}{30} = 11\frac{19}{30}$. 8) $4018\frac{1}{12} - 418\frac{17}{18} = 4017\frac{3}{36} - 418\frac{34}{36} = 4016\frac{39}{36} - 418\frac{34}{36} = 3598\frac{5}{36}$. 9) $\frac{\frac{81}{49} \cdot \frac{99}{5} \cdot \frac{34}{27} \cdot \frac{56}{45}}{\frac{144}{35} \cdot \frac{51}{22} \cdot \frac{121}{48} \cdot \frac{16}{15}} = \frac{\frac{81}{27} \cdot \frac{99}{45} \cdot \frac{56}{49} \cdot \frac{34}{5}}{\frac{144}{48} \cdot \frac{121}{11} \cdot \frac{16}{15} \cdot \frac{51}{35}} = \frac{3 \cdot 2,2 \cdot \frac{8}{7} \cdot 6,8}{3 \cdot 11 \cdot \frac{16}{15} \cdot \frac{51}{35}} = \frac{\frac{33}{5} \cdot \frac{8}{7} \cdot \frac{34}{5}}{33 \cdot \frac{16}{15} \cdot \frac{51}{35}} = \frac{8976/175}{272/35} = \frac{8976}{175} \cdot \frac{35}{272} = \frac{8976 \cdot 1}{5 \cdot 272} = \frac{8976}{1360} = 6,6$.