Shot on itel A60s Дианы 57 74.814 д) 37 46 81 5 106 6). 20 2521 Домашняя работа 开 17 26.3 5 86: $$434) 39; 日) 26 15 13 2 9 к) 5 - 21: 25 16 7 B) 30 5175%) 164; п) 43 8 40 14. 3) 235 2 75 M) 42: 13110

а) \[\frac{9}{10} \cdot \frac{5}{6} = \frac{3 \cdot 3}{2 \cdot 5} \cdot \frac{5}{2 \cdot 3} = \frac{3 \cdot \cancel{3} \cdot \cancel{5}}{2 \cdot \cancel{5} \cdot 2 \cdot \cancel{3}} = \frac{3}{4}\]

б) \[\frac{6}{25} \cdot \frac{20}{21} = \frac{2 \cdot 3}{5 \cdot 5} \cdot \frac{4 \cdot 5}{3 \cdot 7} = \frac{2 \cdot \cancel{3} \cdot 4 \cdot \cancel{5}}{5 \cdot \cancel{5} \cdot \cancel{3} \cdot 7} = \frac{8}{35}\]

в) \[\frac{17}{30} \cdot \frac{26}{51} = \frac{17}{30} \cdot \frac{26}{3 \cdot 17} = \frac{\cancel{17} \cdot 26}{30 \cdot 3 \cdot \cancel{17}} = \frac{26}{90} = \frac{13}{45}\]

г) \[\frac{40}{7} \cdot \frac{14}{5} = \frac{8 \cdot 5}{7} \cdot \frac{2 \cdot 7}{5} = \frac{8 \cdot \cancel{5} \cdot 2 \cdot \cancel{7}}{\cancel{7} \cdot \cancel{5}} = 8 \cdot 2 = 16\]

д) \[\frac{57}{37} \cdot \frac{74}{86} = \frac{57}{37} \cdot \frac{2 \cdot 37}{2 \cdot 43} = \frac{57 \cdot 2 \cdot \cancel{37}}{37 \cdot 2 \cdot 43} = \frac{57}{43}\]

е) \[\frac{81}{115} \cdot \frac{46}{81} = \frac{\cancel{81} \cdot 46}{115 \cdot \cancel{81}} = \frac{46}{115} = \frac{2 \cdot 23}{5 \cdot 23} = \frac{2}{5}\]

ж) \[\frac{3}{16} \cdot 4 = \frac{3 \cdot 4}{16} = \frac{3 \cdot \cancel{4}}{4 \cdot \cancel{4}} = \frac{3}{4}\]

з) \[23 \cdot \frac{5}{16} = \frac{23 \cdot 5}{16} = \frac{115}{16}\]

и) \[\frac{5}{13} \cdot 39 = \frac{5 \cdot 39}{13} = \frac{5 \cdot 3 \cdot 13}{13} = 5 \cdot 3 = 15\]

к) \[5 \cdot 2 \frac{1}{5} = 5 \cdot \frac{11}{5} = \frac{5 \cdot 11}{5} = \frac{\cancel{5} \cdot 11}{\cancel{5}} = 11\]

л) \[3 \frac{3}{5} \cdot 1 \frac{1}{9} = \frac{18}{5} \cdot \frac{10}{9} = \frac{2 \cdot 9}{5} \cdot \frac{2 \cdot 5}{9} = \frac{2 \cdot \cancel{9} \cdot 2 \cdot \cancel{5}}{\cancel{5} \cdot \cancel{9}} = 2 \cdot 2 = 4\]

м) \[4 \frac{2}{7} \cdot 2 = \frac{30}{7} \cdot 2 = \frac{60}{7} = 8 \frac{4}{7}\]

н) \[2 \frac{14}{15} \cdot 6 \frac{6}{11} = \frac{44}{15} \cdot \frac{72}{11} = \frac{4 \cdot 11}{15} \cdot \frac{72}{11} = \frac{4 \cdot \cancel{11} \cdot 72}{15 \cdot \cancel{11}} = \frac{288}{15} = \frac{96}{5} = 19 \frac{1}{5}\]

о) \[2 \frac{2}{25} \cdot 1 \frac{9}{16} = \frac{52}{25} \cdot \frac{25}{16} = \frac{52 \cdot 25}{25 \cdot 16} = \frac{52 \cdot \cancel{25}}{\cancel{25} \cdot 16} = \frac{52}{16} = \frac{13}{4}\]

п) \[\frac{13}{43} \cdot 8 \frac{7}{26} = \frac{13}{43} \cdot \frac{215}{26} = \frac{13 \cdot 215}{43 \cdot 26} = \frac{13 \cdot 5 \cdot 43}{43 \cdot 2 \cdot 13} = \frac{\cancel{13} \cdot 5 \cdot \cancel{43}}{\cancel{43} \cdot 2 \cdot \cancel{13}} = \frac{5}{2}\]