Ответ:
Решение:
а)
- \(\frac{3}{4} \cdot \frac{1}{5} = \frac{3}{20}\)
- \(\frac{9}{11} \cdot \frac{11}{27} = \frac{9}{27} = \frac{1}{3}\)
- \(\frac{3}{5} \cdot \frac{20}{15} = \frac{3 \cdot 20}{5 \cdot 15} = \frac{60}{75} = \frac{4}{5}\)
- \(\frac{26}{49} \cdot \frac{7}{13} = \frac{26 \cdot 7}{49 \cdot 13} = \frac{2 \cdot 1}{7 \cdot 1} = \frac{2}{7}\)
б)
- \(\frac{5}{7} \cdot \frac{1}{2} = \frac{5}{14}\)
- \(\frac{5}{7} \cdot 0 = 0\)
- \(\frac{2}{7} \cdot \frac{14}{19} = \frac{2 \cdot 14}{7 \cdot 19} = \frac{2 \cdot 2}{19} = \frac{4}{19}\)
- \(\frac{17}{18} \cdot \frac{4}{17} = \frac{4}{18} = \frac{2}{9}\)
в)
- \(\frac{5}{9} \cdot \frac{3}{10} = \frac{5 \cdot 3}{9 \cdot 10} = \frac{15}{90} = \frac{1}{6}\)
- \(1 \cdot \frac{8}{19} = \frac{8}{19}\)
- \(\frac{8}{25} \cdot \frac{5}{16} = \frac{8 \cdot 5}{25 \cdot 16} = \frac{1 \cdot 1}{5 \cdot 2} = \frac{1}{10}\)
- \(\frac{14}{45} \cdot \frac{50}{21} = \frac{14 \cdot 50}{45 \cdot 21} = \frac{2 \cdot 10}{9 \cdot 3} = \frac{20}{27}\)
г)
- \(\frac{3}{5} \cdot \frac{10}{21} = \frac{3 \cdot 10}{5 \cdot 21} = \frac{1 \cdot 2}{1 \cdot 7} = \frac{2}{7}\)
- \(\frac{7}{26} \cdot \frac{2}{3} = \frac{7 \cdot 2}{26 \cdot 3} = \frac{7 \cdot 1}{13 \cdot 3} = \frac{7}{39}\)
- \(\frac{13}{11} \cdot \frac{11}{13} = 1\)
- \(\frac{36}{49} \cdot \frac{7}{12} = \frac{36 \cdot 7}{49 \cdot 12} = \frac{3 \cdot 1}{7 \cdot 1} = \frac{3}{7}\)
Ответ: а) 3/20, 1/3, 4/5, 2/7; б) 5/14, 0, 4/19, 2/9; в) 1/6, 8/19, 1/10, 20/27; г) 2/7, 7/39, 1, 3/7.
