Преобразуйте в десятичную дробь: 9/25; 5/8; 121/50

1. Преобразуйте в десятичную дробь: $$\frac{9}{25} = \frac{9 \cdot 4}{25 \cdot 4} = \frac{36}{100} = 0,36$$ $$\frac{5}{8} = \frac{5 \cdot 125}{8 \cdot 125} = \frac{625}{1000} = 0,625$$ $$\frac{121}{50} = \frac{121 \cdot 2}{50 \cdot 2} = \frac{242}{100} = 2,42$$ 2. Приведите к наименьшему общему знаменателю дроби: 1) $\frac{1}{9}$ и $\frac{1}{6}$ НОК(9, 6) = 18 $$\frac{1}{9} = \frac{1 \cdot 2}{9 \cdot 2} = \frac{2}{18}$$ $$\frac{1}{6} = \frac{1 \cdot 3}{6 \cdot 3} = \frac{3}{18}$$ 2) $\frac{7}{12}$ и $\frac{5}{8}$ НОК(12, 8) = 24 $$\frac{7}{12} = \frac{7 \cdot 2}{12 \cdot 2} = \frac{14}{24}$$ $$\frac{5}{8} = \frac{5 \cdot 3}{8 \cdot 3} = \frac{15}{24}$$ 3) $\frac{4}{39}$ и $\frac{7}{13}$ НОК(39, 13) = 39 $$\frac{4}{39}$$ $$\frac{7}{13} = \frac{7 \cdot 3}{13 \cdot 3} = \frac{21}{39}$$ 4) $\frac{3}{8}$ и $\frac{5}{9}$ НОК(8, 9) = 72 $$\frac{3}{8} = \frac{3 \cdot 9}{8 \cdot 9} = \frac{27}{72}$$ $$\frac{5}{9} = \frac{5 \cdot 8}{9 \cdot 8} = \frac{40}{72}$$ 5) $\frac{14}{15}$ и $\frac{11}{12}$ НОК(15, 12) = 60 $$\frac{14}{15} = \frac{14 \cdot 4}{15 \cdot 4} = \frac{56}{60}$$ $$\frac{11}{12} = \frac{11 \cdot 5}{12 \cdot 5} = \frac{55}{60}$$ 6) $\frac{3}{4}$, $\frac{5}{14}$ и $\frac{4}{7}$ НОК(4, 14, 7) = 28 $$\frac{3}{4} = \frac{3 \cdot 7}{4 \cdot 7} = \frac{21}{28}$$ $$\frac{5}{14} = \frac{5 \cdot 2}{14 \cdot 2} = \frac{10}{28}$$ $$\frac{4}{7} = \frac{4 \cdot 4}{7 \cdot 4} = \frac{16}{28}$$