Реши примеры на умножение дробей

Решим примеры на умножение дробей: 1) $\frac{23}{5} \cdot \frac{3}{4} = \frac{23 \cdot 3}{5 \cdot 4} = \frac{69}{20} = 3\frac{9}{20}$ *Перевод: 23/5 * 3/4 = 69/20 = 3 9/20* 2) $\frac{4}{5} \cdot \frac{1}{2} = \frac{4 \cdot 1}{5 \cdot 2} = \frac{4}{10} = \frac{2}{5}$ *Перевод: 4/5 * 1/2 = 4/10 = 2/5* 3) $\frac{1}{7} \cdot \frac{2}{3} = \frac{1 \cdot 2}{7 \cdot 3} = \frac{2}{21}$ *Перевод: 1/7 * 2/3 = 2/21* 4) $\frac{4}{5} \cdot \frac{6}{5} = \frac{4 \cdot 6}{5 \cdot 5} = \frac{24}{25}$ *Перевод: 4/5 * 6/5 = 24/25* 5) $\frac{1}{8} \cdot \frac{7}{9} = \frac{1 \cdot 7}{8 \cdot 9} = \frac{7}{72}$ *Перевод: 1/8 * 7/9 = 7/72* 6) $\frac{2}{3} \cdot \frac{6}{7} = \frac{2 \cdot 6}{3 \cdot 7} = \frac{12}{21} = \frac{4}{7}$ *Перевод: 2/3 * 6/7 = 12/21 = 4/7* 7) $\frac{5}{6} \cdot \frac{4}{10} = \frac{5 \cdot 4}{6 \cdot 10} = \frac{20}{60} = \frac{1}{3}$ *Перевод: 5/6 * 4/10 = 20/60 = 1/3* 8) $\frac{11}{14} \cdot \frac{7}{22} = \frac{11 \cdot 7}{14 \cdot 22} = \frac{77}{308} = \frac{1}{4}$ *Перевод: 11/14 * 7/22 = 77/308 = 1/4* 9) $\frac{4}{15} \cdot \frac{5}{8} = \frac{4 \cdot 5}{15 \cdot 8} = \frac{20}{120} = \frac{1}{6}$ *Перевод: 4/15 * 5/8 = 20/120 = 1/6* 10) $\frac{3}{10} \cdot \frac{2}{6} = \frac{3 \cdot 2}{10 \cdot 6} = \frac{6}{60} = \frac{1}{10}$ *Перевод: 3/10 * 2/6 = 6/60 = 1/10* 11) $\frac{3}{7} \cdot \frac{6}{7} = \frac{3 \cdot 6}{7 \cdot 7} = \frac{18}{49}$ *Перевод: 3/7 * 6/7 = 18/49* 12) $\frac{1}{2} \cdot \frac{3}{4} = \frac{1 \cdot 3}{2 \cdot 4} = \frac{3}{8}$ *Перевод: 1/2 * 3/4 = 3/8* 13) $\frac{5}{7} \cdot \frac{5}{7} = \frac{5 \cdot 5}{7 \cdot 7} = \frac{25}{49}$ *Перевод: 5/7 * 5/7 = 25/49* 14) $\frac{8}{11} \cdot \frac{16}{77} = \frac{8 \cdot 16}{11 \cdot 77} = \frac{128}{847}$ *Перевод: 8/11 * 16/77 = 128/847* 15) $\frac{5}{23} \cdot \frac{15}{46} = \frac{5 \cdot 15}{23 \cdot 46} = \frac{75}{1058}$ *Перевод: 5/23 * 15/46 = 75/1058* 16) $\frac{14}{25} \cdot \frac{21}{50} = \frac{14 \cdot 21}{25 \cdot 50} = \frac{294}{1250} = \frac{147}{625}$ *Перевод: 14/25 * 21/50 = 294/1250 = 147/625* 17) $\frac{18}{20} \cdot \frac{27}{40} = \frac{18 \cdot 27}{20 \cdot 40} = \frac{486}{800} = \frac{243}{400}$ *Перевод: 18/20 * 27/40 = 486/800 = 243/400* 18) $\frac{63}{70} \cdot \frac{81}{270} = \frac{63 \cdot 81}{70 \cdot 270} = \frac{5103}{18900} = \frac{9}{35}$ *Перевод: 63/70 * 81/270 = 5103/18900 = 9/35* 19) $\frac{5}{7} \cdot \frac{21}{15} \cdot \frac{9}{24} = \frac{5 \cdot 21 \cdot 9}{7 \cdot 15 \cdot 24} = \frac{945}{2520} = \frac{3}{8}$ *Перевод: 5/7 * 21/15 * 9/24 = 945/2520 = 3/8* 20) $\frac{4}{5} \cdot \frac{8}{10} \cdot \frac{20}{2} = \frac{4 \cdot 8 \cdot 20}{5 \cdot 10 \cdot 2} = \frac{640}{100} = \frac{32}{5} = 6\frac{2}{5}$ *Перевод: 4/5 * 8/10 * 20/2 = 640/100 = 32/5 = 6 2/5* 21) $\frac{6}{7} \cdot \frac{3}{9} \cdot \frac{28}{30} = \frac{6 \cdot 3 \cdot 28}{7 \cdot 9 \cdot 30} = \frac{504}{1890} = \frac{4}{15}$ *Перевод: 6/7 * 3/9 * 28/30 = 504/1890 = 4/15* 22) $\frac{40}{50} \cdot \frac{20}{5} \cdot \frac{3}{4} = \frac{40 \cdot 20 \cdot 3}{50 \cdot 5 \cdot 4} = \frac{2400}{1000} = \frac{12}{5} = 2\frac{2}{5}$ *Перевод: 40/50 * 20/5 * 3/4 = 2400/1000 = 12/5 = 2 2/5* 23) $\frac{17}{20} \cdot \frac{10}{34} \cdot \frac{5}{2} = \frac{17 \cdot 10 \cdot 5}{20 \cdot 34 \cdot 2} = \frac{850}{1360} = \frac{5}{8}$ *Перевод: 17/20 * 10/34 * 5/2 = 850/1360 = 5/8* 24) $\frac{15}{20} \cdot \frac{150}{200} \cdot \frac{2}{3} = \frac{15 \cdot 150 \cdot 2}{20 \cdot 200 \cdot 3} = \frac{4500}{12000} = \frac{3}{8}$ *Перевод: 15/20 * 150/200 * 2/3 = 4500/12000 = 3/8* 25) $\frac{14}{63} \cdot \frac{18}{28} \cdot \frac{2}{6} = \frac{14 \cdot 18 \cdot 2}{63 \cdot 28 \cdot 6} = \frac{504}{10584} = \frac{1}{21}$ *Перевод: 14/63 * 18/28 * 2/6 = 504/10584 = 1/21* 26) $\frac{77}{25} \cdot \frac{11}{13} \cdot \frac{65}{7} = \frac{77 \cdot 11 \cdot 65}{25 \cdot 13 \cdot 7} = \frac{55055}{2275} = \frac{77}{5} = 15\frac{2}{5}$ *Перевод: 77/25 * 11/13 * 65/7 = 55055/2275 = 77/5 = 15 2/5* 27) $\frac{81}{90} \cdot \frac{2}{3} \cdot \frac{18}{20} = \frac{81 \cdot 2 \cdot 18}{90 \cdot 3 \cdot 20} = \frac{2916}{5400} = \frac{81}{150} = \frac{27}{50}$ *Перевод: 81/90 * 2/3 * 18/20 = 2916/5400 = 81/150 = 27/50*