Задание 124. Найдите произведение. A. 1) \(\frac{25}{38} \cdot \frac{15}{24}\) 2) \(\frac{1}{2} \cdot \frac{6}{7}\) 3) \(\frac{3}{5} \cdot \frac{5}{8}\) 4) \(\frac{1}{9} \cdot \frac{9}{10}\) 5) \(\frac{6}{11} \cdot \frac{5}{18}\) 6) \(\frac{2}{5} \cdot \frac{1}{3}\) 7) \(\frac{1}{6} \cdot \frac{2}{7}\) 8) \(\frac{2}{3} \cdot \frac{3}{13}\) 9) \(\frac{1}{8} \cdot \frac{10}{11}\) 10) \(\frac{3}{5} \cdot \frac{15}{19}\) 11) \(\frac{2}{9} \cdot \frac{5}{9}\) 12) \(\frac{5}{11} \cdot \frac{5}{6}\) 13) \(\frac{4}{7} \cdot \frac{8}{9}\) 14) \(\frac{3}{20} \cdot \frac{10}{11}\) 15) \(\frac{3}{10} \cdot \frac{5}{9}\) 16) \(\frac{5}{8} \cdot \frac{2}{15}\) 17) \(\frac{2}{7} \cdot \frac{21}{22}\) 18) \(\frac{8}{15} \cdot \frac{25}{32}\) 19) \(\frac{12}{35} \cdot \frac{14}{15}\) 20) \(\frac{2}{9} \cdot \frac{3}{8}\) 21) \(\frac{5}{6} \cdot \frac{12}{35}\) 22) \(\frac{7}{8} \cdot \frac{8}{40}\) 23) \(\frac{27}{32} \cdot \frac{4}{5}\) 24) \(\frac{45}{49} \cdot \frac{7}{10}\) 25) \(\frac{12}{15} \cdot \frac{35}{36}\) 26) \(\frac{18}{77} \cdot \frac{14}{27}\) 27) \(\frac{22}{25} \cdot \frac{5}{33}\) 28) \(\frac{48}{49} \cdot \frac{35}{16}\) 29) \(\frac{7}{60} \cdot \frac{10}{21}\) 30) \(\frac{12}{100} \cdot \frac{25}{4}\)

Давай найдем произведения дробей по порядку. 1) \(\frac{25}{38} \cdot \frac{15}{24} = \frac{25 \cdot 15}{38 \cdot 24} = \frac{25 \cdot 5}{38 \cdot 8} = \frac{125}{304}\) 2) \(\frac{1}{2} \cdot \frac{6}{7} = \frac{1 \cdot 6}{2 \cdot 7} = \frac{1 \cdot 3}{1 \cdot 7} = \frac{3}{7}\) 3) \(\frac{3}{5} \cdot \frac{5}{8} = \frac{3 \cdot 5}{5 \cdot 8} = \frac{3 \cdot 1}{1 \cdot 8} = \frac{3}{8}\) 4) \(\frac{1}{9} \cdot \frac{9}{10} = \frac{1 \cdot 9}{9 \cdot 10} = \frac{1 \cdot 1}{1 \cdot 10} = \frac{1}{10}\) 5) \(\frac{6}{11} \cdot \frac{5}{18} = \frac{6 \cdot 5}{11 \cdot 18} = \frac{1 \cdot 5}{11 \cdot 3} = \frac{5}{33}\) 6) \(\frac{2}{5} \cdot \frac{1}{3} = \frac{2 \cdot 1}{5 \cdot 3} = \frac{2}{15}\) 7) \(\frac{1}{6} \cdot \frac{2}{7} = \frac{1 \cdot 2}{6 \cdot 7} = \frac{1 \cdot 1}{3 \cdot 7} = \frac{1}{21}\) 8) \(\frac{2}{3} \cdot \frac{3}{13} = \frac{2 \cdot 3}{3 \cdot 13} = \frac{2 \cdot 1}{1 \cdot 13} = \frac{2}{13}\) 9) \(\frac{1}{8} \cdot \frac{10}{11} = \frac{1 \cdot 10}{8 \cdot 11} = \frac{1 \cdot 5}{4 \cdot 11} = \frac{5}{44}\) 10) \(\frac{3}{5} \cdot \frac{15}{19} = \frac{3 \cdot 15}{5 \cdot 19} = \frac{3 \cdot 3}{1 \cdot 19} = \frac{9}{19}\) 11) \(\frac{2}{9} \cdot \frac{5}{9} = \frac{2 \cdot 5}{9 \cdot 9} = \frac{10}{81}\) 12) \(\frac{5}{11} \cdot \frac{5}{6} = \frac{5 \cdot 5}{11 \cdot 6} = \frac{25}{66}\) 13) \(\frac{4}{7} \cdot \frac{8}{9} = \frac{4 \cdot 8}{7 \cdot 9} = \frac{32}{63}\) 14) \(\frac{3}{20} \cdot \frac{10}{11} = \frac{3 \cdot 10}{20 \cdot 11} = \frac{3 \cdot 1}{2 \cdot 11} = \frac{3}{22}\) 15) \(\frac{3}{10} \cdot \frac{5}{9} = \frac{3 \cdot 5}{10 \cdot 9} = \frac{1 \cdot 1}{2 \cdot 3} = \frac{1}{6}\) 16) \(\frac{5}{8} \cdot \frac{2}{15} = \frac{5 \cdot 2}{8 \cdot 15} = \frac{1 \cdot 1}{4 \cdot 3} = \frac{1}{12}\) 17) \(\frac{2}{7} \cdot \frac{21}{22} = \frac{2 \cdot 21}{7 \cdot 22} = \frac{1 \cdot 3}{1 \cdot 11} = \frac{3}{11}\) 18) \(\frac{8}{15} \cdot \frac{25}{32} = \frac{8 \cdot 25}{15 \cdot 32} = \frac{1 \cdot 5}{3 \cdot 4} = \frac{5}{12}\) 19) \(\frac{12}{35} \cdot \frac{14}{15} = \frac{12 \cdot 14}{35 \cdot 15} = \frac{4 \cdot 2}{5 \cdot 5} = \frac{8}{25}\) 20) \(\frac{2}{9} \cdot \frac{3}{8} = \frac{2 \cdot 3}{9 \cdot 8} = \frac{1 \cdot 1}{3 \cdot 4} = \frac{1}{12}\) 21) \(\frac{5}{6} \cdot \frac{12}{35} = \frac{5 \cdot 12}{6 \cdot 35} = \frac{1 \cdot 2}{1 \cdot 7} = \frac{2}{7}\) 22) \(\frac{7}{8} \cdot \frac{8}{40} = \frac{7 \cdot 8}{8 \cdot 40} = \frac{7 \cdot 1}{1 \cdot 40} = \frac{7}{40}\) 23) \(\frac{27}{32} \cdot \frac{4}{5} = \frac{27 \cdot 4}{32 \cdot 5} = \frac{27 \cdot 1}{8 \cdot 5} = \frac{27}{40}\) 24) \(\frac{45}{49} \cdot \frac{7}{10} = \frac{45 \cdot 7}{49 \cdot 10} = \frac{9 \cdot 1}{7 \cdot 2} = \frac{9}{14}\) 25) \(\frac{12}{15} \cdot \frac{35}{36} = \frac{12 \cdot 35}{15 \cdot 36} = \frac{1 \cdot 7}{3 \cdot 3} = \frac{7}{9}\) 26) \(\frac{18}{77} \cdot \frac{14}{27} = \frac{18 \cdot 14}{77 \cdot 27} = \frac{2 \cdot 2}{11 \cdot 3} = \frac{4}{33}\) 27) \(\frac{22}{25} \cdot \frac{5}{33} = \frac{22 \cdot 5}{25 \cdot 33} = \frac{2 \cdot 1}{5 \cdot 3} = \frac{2}{15}\) 28) \(\frac{48}{49} \cdot \frac{35}{16} = \frac{48 \cdot 35}{49 \cdot 16} = \frac{3 \cdot 5}{7 \cdot 1} = \frac{15}{7}\) 29) \(\frac{7}{60} \cdot \frac{10}{21} = \frac{7 \cdot 10}{60 \cdot 21} = \frac{1 \cdot 1}{6 \cdot 3} = \frac{1}{18}\) 30) \(\frac{12}{100} \cdot \frac{25}{4} = \frac{12 \cdot 25}{100 \cdot 4} = \frac{3 \cdot 1}{4 \cdot 1} = \frac{3}{4}\)

Ответ:

Прекрасно! Ты отлично справился с умножением дробей. Продолжай в том же духе, и у тебя все получится!