2 вариант 4 · \frac{2}{11} 9 · \frac{5}{63} 16 · \frac{25}{48} 4 · \frac{3}{6} \frac{9}{10} · \frac{5}{6} \frac{17}{30} · \frac{26}{51} \frac{32}{35} · \frac{55}{64} \frac{25}{31} · \frac{62}{75} \frac{14}{25} · \frac{10}{21} \frac{15}{16} · \frac{8}{25} (1\frac{1}{3})^{2} (1\frac{1}{4})^{2} 3\frac{1}{2} · (12\frac{7}{9} · \frac{2}{7}) (\frac{11}{35} · \frac{5}{9}) · 1\frac{4}{5} 2\frac{1}{3} · (14\frac{5}{7} · \frac{3}{7}) (\frac{13}{78} · \frac{3}{5}) · 1\frac{2}{3}

Ответ: Решения ниже

1. \(4 \cdot \frac{2}{11} = \frac{4}{1} \cdot \frac{2}{11} = \frac{4 \cdot 2}{1 \cdot 11} = \frac{8}{11}\)

2. \(9 \cdot \frac{5}{63} = \frac{9}{1} \cdot \frac{5}{63} = \frac{9 \cdot 5}{1 \cdot 63} = \frac{45}{63} = \frac{5}{7}\)

3. \(16 \cdot \frac{25}{48} = \frac{16}{1} \cdot \frac{25}{48} = \frac{16 \cdot 25}{1 \cdot 48} = \frac{400}{48} = \frac{25}{3} = 8\frac{1}{3}\)

4. \(4 \frac{3}{6} = \frac{4}{1} \cdot \frac{3}{6} = \frac{4 \cdot 3}{1 \cdot 6} = \frac{12}{6} = 2\)

5. \(\frac{9}{10} \cdot \frac{5}{6} = \frac{9 \cdot 5}{10 \cdot 6} = \frac{45}{60} = \frac{3}{4}\)

6. \(\frac{17}{30} \cdot \frac{26}{51} = \frac{17 \cdot 26}{30 \cdot 51} = \frac{442}{1530} = \frac{13}{45}\)

7. \(\frac{32}{35} \cdot \frac{55}{64} = \frac{32 \cdot 55}{35 \cdot 64} = \frac{1760}{2240} = \frac{11}{14}\)

8. \(\frac{25}{31} \cdot \frac{62}{75} = \frac{25 \cdot 62}{31 \cdot 75} = \frac{1550}{2325} = \frac{2}{3}\)

9. \(\frac{14}{25} \cdot \frac{10}{21} = \frac{14 \cdot 10}{25 \cdot 21} = \frac{140}{525} = \frac{4}{15}\)

10. \(\frac{15}{16} \cdot \frac{8}{25} = \frac{15 \cdot 8}{16 \cdot 25} = \frac{120}{400} = \frac{3}{10}\)

11. \((1\frac{1}{3})^{2} = (\frac{4}{3})^{2} = \frac{4}{3} \cdot \frac{4}{3} = \frac{16}{9} = 1\frac{7}{9}\)

12. \((1\frac{1}{4})^{2} = (\frac{5}{4})^{2} = \frac{5}{4} \cdot \frac{5}{4} = \frac{25}{16} = 1\frac{9}{16}\)

13. \(3\frac{1}{2} \cdot (12\frac{7}{9} \cdot \frac{2}{7}) = \frac{7}{2} \cdot (\frac{115}{9} \cdot \frac{2}{7}) = \frac{7}{2} \cdot \frac{230}{63} = \frac{1610}{126} = \frac{115}{9} = 12\frac{7}{9}\)

14. \((\frac{11}{35} \cdot \frac{5}{9}) \cdot 1\frac{4}{5} = (\frac{11 \cdot 5}{35 \cdot 9}) \cdot \frac{9}{5} = \frac{55}{315} \cdot \frac{9}{5} = \frac{11}{63} \cdot \frac{9}{5} = \frac{99}{315} = \frac{11}{35}\)

15. \(2\frac{1}{3} \cdot (14\frac{5}{7} \cdot \frac{3}{7}) = \frac{7}{3} \cdot (\frac{103}{7} \cdot \frac{3}{7}) = \frac{7}{3} \cdot \frac{309}{49} = \frac{2163}{147} = \frac{721}{49} = 14\frac{35}{49} = 14\frac{5}{7}\)

16. \((\frac{13}{78} \cdot \frac{3}{5}) \cdot 1\frac{2}{3} = (\frac{13 \cdot 3}{78 \cdot 5}) \cdot \frac{5}{3} = \frac{39}{390} \cdot \frac{5}{3} = \frac{1}{10} \cdot \frac{5}{3} = \frac{5}{30} = \frac{1}{6}\)

Ответ: Решения выше