Решение

1. $$rac{1}{3}$$ и $$rac{1}{4}$$
   НОК (3; 4) = 12. $$\frac{1}{3} = \frac{1 \cdot 4}{3 \cdot 4} = \frac{4}{12}$$ $$\frac{1}{4} = \frac{1 \cdot 3}{4 \cdot 3} = \frac{3}{12}$$
   Ответ: $$\frac{4}{12}$$ и $$\frac{3}{12}$$
2. $$\frac{5}{7}$$ и $$rac{2}{9}$$
   НОК (7; 9) = 63. $$\frac{5}{7} = \frac{5 \cdot 9}{7 \cdot 9} = \frac{45}{63}$$ $$\frac{2}{9} = \frac{2 \cdot 7}{9 \cdot 7} = \frac{14}{63}$$
   Ответ: $$\frac{45}{63}$$ и $$\frac{14}{63}$$
3. $$\frac{1}{3}$$ и $$\frac{5}{24}$$
   НОК (3; 24) = 24. $$\frac{1}{3} = \frac{1 \cdot 8}{3 \cdot 8} = \frac{8}{24}$$ $$\frac{5}{24} = \frac{5}{24}$$
   Ответ: $$\frac{8}{24}$$ и $$\frac{5}{24}$$
4. $$\frac{3}{8}$$ и $$\frac{7}{16}$$
   НОК (8; 16) = 16. $$\frac{3}{8} = \frac{3 \cdot 2}{8 \cdot 2} = \frac{6}{16}$$ $$\frac{7}{16} = \frac{7}{16}$$
   Ответ: $$\frac{6}{16}$$ и $$\frac{7}{16}$$
5. $$\frac{3}{20}$$ и $$\frac{7}{30}$$
   НОК (20; 30) = 60. $$\frac{3}{20} = \frac{3 \cdot 3}{20 \cdot 3} = \frac{9}{60}$$ $$\frac{7}{30} = \frac{7 \cdot 2}{30 \cdot 2} = \frac{14}{60}$$
   Ответ: $$\frac{9}{60}$$ и $$\frac{14}{60}$$
6. $$\frac{1}{55}$$ и $$\frac{2}{33}$$
   НОК (55; 33) = 165. $$\frac{1}{55} = \frac{1 \cdot 3}{55 \cdot 3} = \frac{3}{165}$$ $$\frac{2}{33} = \frac{2 \cdot 5}{33 \cdot 5} = \frac{10}{165}$$
   Ответ: $$\frac{3}{165}$$ и $$\frac{10}{165}$$
7. $$\frac{1}{51}$$ и $$\frac{1}{34}$$
   НОК (51; 34) = 102. $$\frac{1}{51} = \frac{1 \cdot 2}{51 \cdot 2} = \frac{2}{102}$$ $$\frac{1}{34} = \frac{1 \cdot 3}{34 \cdot 3} = \frac{3}{102}$$
   Ответ: $$\frac{2}{102}$$ и $$\frac{3}{102}$$
8. $$\frac{2}{39}$$ и $$\frac{3}{26}$$
   НОК (39; 26) = 78. $$\frac{2}{39} = \frac{2 \cdot 2}{39 \cdot 2} = \frac{4}{78}$$ $$\frac{3}{26} = \frac{3 \cdot 3}{26 \cdot 3} = \frac{9}{78}$$
   Ответ: $$\frac{4}{78}$$ и $$\frac{9}{78}$$