Конечно, давай решим эти примеры вместе!
*336. Найдите произведение:*
1) $\frac{6}{11} \cdot \frac{4}{7} = \frac{6 \cdot 4}{11 \cdot 7} = \frac{24}{77}$
2) $\frac{7}{20} \cdot \frac{10}{21} = \frac{7 \cdot 10}{20 \cdot 21} = \frac{70}{420} = \frac{1}{6}$
3) $\frac{8}{9} \cdot \frac{27}{32} = \frac{8 \cdot 27}{9 \cdot 32} = \frac{216}{288} = \frac{3}{4}$
4) $3,95 \cdot 2,3 = 9,085$
*338. Выполните умножение:*
1) $9 \frac{3}{5} \cdot \frac{10}{21} = \frac{48}{5} \cdot \frac{10}{21} = \frac{48 \cdot 10}{5 \cdot 21} = \frac{480}{105} = \frac{32}{7} = 4 \frac{4}{7}$
2) $3 \frac{11}{12} \cdot \frac{9}{94} = \frac{47}{12} \cdot \frac{9}{94} = \frac{47 \cdot 9}{12 \cdot 94} = \frac{423}{1128} = \frac{9}{24} = \frac{3}{8}$
3) $5 \frac{1}{7} \cdot 5 \frac{5}{8} = \frac{36}{7} \cdot \frac{45}{8} = \frac{36 \cdot 45}{7 \cdot 8} = \frac{1620}{56} = \frac{405}{14} = 28 \frac{13}{14}$
4) $3 \frac{5}{9} \cdot 5 \frac{1}{4} = \frac{32}{9} \cdot \frac{21}{4} = \frac{32 \cdot 21}{9 \cdot 4} = \frac{672}{36} = \frac{56}{3} = 18 \frac{2}{3}$
5) $1 \frac{15}{16} \cdot 4 \frac{1}{27} = \frac{31}{16} \cdot \frac{109}{27} = \frac{31 \cdot 109}{16 \cdot 27} = \frac{3379}{432} = 7 \frac{35}{432}$
6) $\frac{5}{86} \cdot \frac{43}{51} = \frac{5 \cdot 43}{86 \cdot 51} = \frac{215}{4386}$
7) $\frac{7}{90} \cdot \frac{18}{77} = \frac{7 \cdot 18}{90 \cdot 77} = \frac{126}{6930} = \frac{1}{55}$
8) $\frac{63}{64} \cdot \frac{48}{91} = \frac{63 \cdot 48}{64 \cdot 91} = \frac{3024}{5824} = \frac{27}{52}$
9) $\frac{19}{100} \cdot \frac{5}{38} = \frac{19 \cdot 5}{100 \cdot 38} = \frac{95}{3800} = \frac{1}{40}$
*340. Выполните умножение:*
1) $0,8 \cdot \frac{7}{12} = \frac{8}{10} \cdot \frac{7}{12} = \frac{56}{120} = \frac{7}{15}$
2) $1,25 \cdot \frac{32}{45} = \frac{125}{100} \cdot \frac{32}{45} = \frac{4000}{4500} = \frac{8}{9}$
3) $1 \frac{1}{2} \cdot 0,6 = \frac{3}{2} \cdot \frac{6}{10} = \frac{18}{20} = \frac{9}{10}$
4) $4,5 \cdot 3 \frac{1}{3} = \frac{45}{10} \cdot \frac{10}{3} = \frac{450}{30} = 15$
*447. Выполните деление:*
1) $\frac{11}{15} : \frac{3}{8} = \frac{11}{15} \cdot \frac{8}{3} = \frac{11 \cdot 8}{15 \cdot 3} = \frac{88}{45} = 1 \frac{43}{45}$
2) $\frac{6}{35} : \frac{18}{25} = \frac{6}{35} \cdot \frac{25}{18} = \frac{6 \cdot 25}{35 \cdot 18} = \frac{150}{630} = \frac{5}{21}$
3) $\frac{12}{55} : \frac{48}{77} = \frac{12}{55} \cdot \frac{77}{48} = \frac{12 \cdot 77}{55 \cdot 48} = \frac{924}{2640} = \frac{7}{20}$
4) $\frac{21}{40} : \frac{3}{4} = \frac{21}{40} \cdot \frac{4}{3} = \frac{21 \cdot 4}{40 \cdot 3} = \frac{84}{120} = \frac{7}{10}$
5) $\frac{27}{50} : \frac{9}{25} = \frac{27}{50} \cdot \frac{25}{9} = \frac{27 \cdot 25}{50 \cdot 9} = \frac{675}{450} = \frac{3}{2} = 1 \frac{1}{2}$
6) $\frac{63}{64} : \frac{45}{56} = \frac{63}{64} \cdot \frac{56}{45} = \frac{63 \cdot 56}{64 \cdot 45} = \frac{3528}{2880} = \frac{49}{40} = 1 \frac{9}{40}$
7) $\frac{8}{32} : \frac{14}{55} = \frac{8}{32} \cdot \frac{55}{14} = \frac{8 \cdot 55}{32 \cdot 14} = \frac{440}{448} = \frac{5}{4} = 1 \frac{5}{4}$
*449. Найдите частное:*
1) $6 : \frac{7}{9} = \frac{6}{1} \cdot \frac{9}{7} = \frac{6 \cdot 9}{1 \cdot 7} = \frac{54}{7} = 7 \frac{5}{7}$
2) $16 : \frac{4}{7} = \frac{16}{1} \cdot \frac{7}{4} = \frac{16 \cdot 7}{1 \cdot 4} = \frac{112}{4} = 28$
3) $13 : \frac{26}{29} = \frac{13}{1} \cdot \frac{29}{26} = \frac{13 \cdot 29}{1 \cdot 26} = \frac{377}{26} = 14 \frac{13}{26} = 14 \frac{1}{2}$
4) $4 : \frac{7}{5} = \frac{4}{1} \cdot \frac{5}{7} = \frac{4 \cdot 5}{1 \cdot 7} = \frac{20}{7} = 2 \frac{6}{7}$
5) $1 : 1 \frac{5}{8} = \frac{1}{1} : \frac{13}{8} = \frac{1}{1} \cdot \frac{8}{13} = \frac{1 \cdot 8}{1 \cdot 13} = \frac{8}{13}$
6) $9 : 6 = \frac{9}{6} = \frac{3}{2} = 1 \frac{1}{2}$
7) $2 \frac{13}{25} : 3 \frac{3}{5} = \frac{63}{25} : \frac{18}{5} = \frac{63}{25} \cdot \frac{5}{18} = \frac{63 \cdot 5}{25 \cdot 18} = \frac{315}{450} = \frac{7}{10}$
8) $2 \frac{1}{35} : 1 \frac{1}{35} = \frac{71}{35} : \frac{36}{35} = \frac{71}{35} \cdot \frac{35}{36} = \frac{71 \cdot 35}{35 \cdot 36} = \frac{71}{36} = 1 \frac{35}{36}$