10. Приведи дроби с натуральными числителями и знаменателями к наименьшему общему знаменателю: 1) \(\frac{14}{75}\) и \(\frac{8}{15}\); 3) \(\frac{5}{12}\) и \(\frac{3}{8}\); 5) \(\frac{8}{105}\) и \(\frac{7}{135}\); 7) \(\frac{5}{2a}\) и \(\frac{8}{3a}\) 2) \(\frac{9}{16}\) и \(\frac{4}{9}\); 4) \(\frac{7}{32}\) и \(\frac{13}{24}\); 6) \(\frac{13}{25}\) и \(\frac{11}{15}\) и \(\frac{3}{20}\); 8) \(\frac{b}{8cd}\) и \(\frac{n}{10d}\)

1) \(\frac{14}{75}\) и \(\frac{8}{15}\). НОЗ(75, 15) = 75. \(\frac{14}{75}\) и \(\frac{8 \cdot 5}{15 \cdot 5} = \frac{40}{75}\) 2) \(\frac{9}{16}\) и \(\frac{4}{9}\). НОЗ(16, 9) = 144. \(\frac{9 \cdot 9}{16 \cdot 9} = \frac{81}{144}\) и \(\frac{4 \cdot 16}{9 \cdot 16} = \frac{64}{144}\) 3) \(\frac{5}{12}\) и \(\frac{3}{8}\). НОЗ(12, 8) = 24. \(\frac{5 \cdot 2}{12 \cdot 2} = \frac{10}{24}\) и \(\frac{3 \cdot 3}{8 \cdot 3} = \frac{9}{24}\) 4) \(\frac{7}{32}\) и \(\frac{13}{24}\). НОЗ(32, 24) = 96. \(\frac{7 \cdot 3}{32 \cdot 3} = \frac{21}{96}\) и \(\frac{13 \cdot 4}{24 \cdot 4} = \frac{52}{96}\) 5) \(\frac{8}{105}\) и \(\frac{7}{135}\). НОЗ(105, 135) = 945. \(\frac{8 \cdot 9}{105 \cdot 9} = \frac{72}{945}\) и \(\frac{7 \cdot 7}{135 \cdot 7} = \frac{49}{945}\) 6) \(\frac{13}{25}\), \(\frac{11}{15}\) и \(\frac{3}{20}\). НОЗ(25, 15, 20) = 300. \(\frac{13 \cdot 12}{25 \cdot 12} = \frac{156}{300}\), \(\frac{11 \cdot 20}{15 \cdot 20} = \frac{220}{300}\) и \(\frac{3 \cdot 15}{20 \cdot 15} = \frac{45}{300}\) 7) \(\frac{5}{2a}\) и \(\frac{8}{3a}\). НОЗ(2a, 3a) = 6a. \(\frac{5 \cdot 3}{2a \cdot 3} = \frac{15}{6a}\) и \(\frac{8 \cdot 2}{3a \cdot 2} = \frac{16}{6a}\) 8) \(\frac{b}{8cd}\) и \(\frac{n}{10d}\). НОЗ(8cd, 10d) = 40cd. \(\frac{b \cdot 5}{8cd \cdot 5} = \frac{5b}{40cd}\) и \(\frac{n \cdot 4c}{10d \cdot 4c} = \frac{4cn}{40cd}\)