Решаю примеры по порядку:
а) $\frac{2}{3} \cdot \frac{9}{14} = \frac{2 \cdot 9}{3 \cdot 14} = \frac{18}{42} = \frac{3}{7}$
б) $\frac{4}{5} \cdot \frac{15}{16} = \frac{4 \cdot 15}{5 \cdot 16} = \frac{60}{80} = \frac{3}{4}$
в) $\frac{3}{7} \cdot \frac{8}{21} = \frac{3 \cdot 8}{7 \cdot 21} = \frac{24}{147} = \frac{8}{49}$
г) $\frac{12}{23} \cdot 1 = \frac{12}{23}$
д) $\frac{17}{19} \cdot 0 = 0$
е) $\frac{2}{5} : \frac{4}{5} = \frac{2}{5} \cdot \frac{5}{4} = \frac{2 \cdot 5}{5 \cdot 4} = \frac{10}{20} = \frac{1}{2}$
ж) $\frac{3}{7} : \frac{9}{14} = \frac{3}{7} \cdot \frac{14}{9} = \frac{3 \cdot 14}{7 \cdot 9} = \frac{42}{63} = \frac{2}{3}$
з) $\frac{5}{8} : \frac{1}{40} = \frac{5}{8} \cdot \frac{40}{1} = \frac{5 \cdot 40}{8 \cdot 1} = \frac{200}{8} = 25$
и) $\frac{3}{17} : \frac{2}{51} = \frac{3}{17} \cdot \frac{51}{2} = \frac{3 \cdot 51}{17 \cdot 2} = \frac{153}{34} = 4 \frac{17}{34} = 4 \frac{1}{2}$
к) $\frac{2}{11} : \frac{4}{77} = \frac{2}{11} \cdot \frac{77}{4} = \frac{2 \cdot 77}{11 \cdot 4} = \frac{154}{44} = \frac{7}{2} = 3 \frac{1}{2}$
л) $\frac{3}{4} \cdot 2 = \frac{3 \cdot 2}{4} = \frac{6}{4} = \frac{3}{2} = 1 \frac{1}{2}$
м) $\frac{6}{17} \cdot \frac{34}{81} = \frac{6 \cdot 34}{17 \cdot 81} = \frac{204}{1377} = \frac{4}{27}$
н) $\frac{11}{48} \cdot \frac{55}{24} = \frac{11 \cdot 55}{48 \cdot 24} = \frac{605}{1152}$
о) $\frac{12}{13} : \frac{7}{13} = \frac{12}{13} \cdot \frac{13}{7} = \frac{12 \cdot 13}{13 \cdot 7} = \frac{12}{7} = 1 \frac{5}{7}$
п) $\frac{33}{34} : \frac{1}{34} = \frac{33}{34} \cdot \frac{34}{1} = 33$
р) $3 \cdot \frac{5}{3} = \frac{3 \cdot 5}{3} = 5$
с) $\frac{64}{76} : \frac{16}{19} = \frac{64}{76} \cdot \frac{19}{16} = \frac{4 \cdot 1}{4 \cdot 1} = 1$
т) $\frac{12}{25} : \frac{5}{16} = \frac{12}{25} \cdot \frac{16}{5} = \frac{12 \cdot 16}{25 \cdot 5} = \frac{192}{125}$
у) $\frac{12}{19} : \frac{1}{24} = \frac{12}{19} \cdot \frac{24}{1} = \frac{12 \cdot 24}{19} = \frac{288}{19}$
ф) $\frac{8}{13} \cdot \frac{13}{8} = 1$
х) $\frac{23}{72} : \frac{72}{23} = \frac{23}{72} \cdot \frac{23}{72} = \frac{529}{5184}$
ц) $\frac{3}{8} \cdot \frac{5}{7} = \frac{3 \cdot 5}{8 \cdot 7} = \frac{15}{56}$
ч) $\frac{5}{16} : \frac{6}{8} = \frac{5}{16} \cdot \frac{8}{6} = \frac{5 \cdot 8}{16 \cdot 6} = \frac{40}{96} = \frac{5}{12}$
ш) $0 : \frac{23}{45} = 0$
щ) $\frac{32}{75} : \frac{8}{15} = \frac{32}{75} \cdot \frac{15}{8} = \frac{32 \cdot 15}{75 \cdot 8} = \frac{2}{5} \cdot \frac{1}{1} = \frac{2}{5}$
э) $\frac{7}{150} : \frac{49}{60} = \frac{7}{150} \cdot \frac{60}{49} = \frac{7 \cdot 60}{150 \cdot 49} = \frac{2}{5} \cdot \frac{1}{7} = \frac{2}{35}$
ю) $3 \frac{1}{4} \cdot 4 = \frac{13}{4} \cdot 4 = 13$
я) $10 \frac{1}{2} : \frac{2}{5} = \frac{21}{2} \cdot \frac{5}{2} = \frac{21 \cdot 5}{2 \cdot 2} = \frac{105}{4}$
1. $0 : \frac{2}{7} = 0$
2. $3 \frac{5}{16} : 1 = 3 \frac{5}{16}$
3. $2 \frac{17}{18} : 1 = \frac{53}{18}$
4. $4 \frac{1}{2} : 6 \frac{2}{3} = \frac{9}{2} : \frac{20}{3} = \frac{9}{2} \cdot \frac{3}{20} = \frac{27}{40}$
5. $1 \frac{51}{93} : 1 \frac{5}{31} = \frac{144}{93} : \frac{36}{31} = \frac{144}{93} \cdot \frac{31}{36} = \frac{4 \cdot 1}{3 \cdot 1} = \frac{4}{3}$
6. $2 \frac{1}{2} \cdot 3 \frac{1}{15} = \frac{5}{2} \cdot \frac{46}{15} = \frac{1 \cdot 23}{1 \cdot 3} = \frac{23}{3}$
7. $\frac{4}{9} \cdot 3 \frac{3}{4} = \frac{4}{9} \cdot \frac{15}{4} = \frac{1 \cdot 5}{3 \cdot 1} = \frac{5}{3}$
8. $1 \frac{6}{7} \cdot 3 \frac{5}{10} = \frac{13}{7} \cdot \frac{35}{10} = \frac{13 \cdot 5}{1 \cdot 10} = \frac{13}{2}$
9. $8 : \frac{4}{7} = 8 \cdot \frac{7}{4} = \frac{2 \cdot 7}{1} = 14$
10. $13 \frac{1}{3} : \frac{4}{27} = \frac{40}{3} : \frac{4}{27} = \frac{40}{3} \cdot \frac{27}{4} = \frac{10 \cdot 9}{1 \cdot 1} = 90$
11. $3 \frac{7}{8} : 2 \frac{1}{15} = \frac{31}{8} : \frac{31}{15} = \frac{31}{8} \cdot \frac{15}{31} = \frac{15}{8}