13 + 75 11 + 46 4 11 = = 4 +5 4 2 + 59 = = 1 4 + = 85 7 2 + = 10 6 1 3 + = 10 9 6 1 + = 13 3 1 1 + = 192 5 1 + = 12 7 4 1 = 17 10 8 1 + = 11 9 5 1 + = 12 7 10 3 13 8 + = 1 случай Если знаменатели не имеют общих делителей 17 12 15 2 5-1 7-2 + = 757 + + = + = 5 14 19 5 5-7 7.5 35 35 35 =

Ответ: смотри решение ниже

1. \[\frac{1}{7} + \frac{3}{5} = \frac{1 \cdot 5}{7 \cdot 5} + \frac{3 \cdot 7}{5 \cdot 7} = \frac{5}{35} + \frac{21}{35} = \frac{5+21}{35} = \frac{26}{35}\]

2. \[\frac{1}{4} + \frac{1}{6} = \frac{1 \cdot 3}{4 \cdot 3} + \frac{1 \cdot 2}{6 \cdot 2} = \frac{3}{12} + \frac{2}{12} = \frac{3+2}{12} = \frac{5}{12}\]

3. \[\frac{4}{11} + \frac{4}{5} = \frac{4 \cdot 5}{11 \cdot 5} + \frac{4 \cdot 11}{5 \cdot 11} = \frac{20}{55} + \frac{44}{55} = \frac{20+44}{55} = \frac{64}{55}\]

4. \[\frac{4}{5} + \frac{2}{9} = \frac{4 \cdot 9}{5 \cdot 9} + \frac{2 \cdot 5}{9 \cdot 5} = \frac{36}{45} + \frac{10}{45} = \frac{36+10}{45} = \frac{46}{45}\]

5. \[\frac{1}{8} + \frac{4}{5} = \frac{1 \cdot 5}{8 \cdot 5} + \frac{4 \cdot 8}{5 \cdot 8} = \frac{5}{40} + \frac{32}{40} = \frac{5+32}{40} = \frac{37}{40}\]

6. \[\frac{7}{10} + \frac{2}{6} = \frac{7 \cdot 3}{10 \cdot 3} + \frac{2 \cdot 5}{6 \cdot 5} = \frac{21}{30} + \frac{10}{30} = \frac{21+10}{30} = \frac{31}{30}\]

7. \[\frac{1}{10} + \frac{3}{9} = \frac{1 \cdot 9}{10 \cdot 9} + \frac{3 \cdot 10}{9 \cdot 10} = \frac{9}{90} + \frac{30}{90} = \frac{9+30}{90} = \frac{39}{90} = \frac{13}{30}\]

8. \[\frac{6}{13} + \frac{1}{3} = \frac{6 \cdot 3}{13 \cdot 3} + \frac{1 \cdot 13}{3 \cdot 13} = \frac{18}{39} + \frac{13}{39} = \frac{18+13}{39} = \frac{31}{39}\]

9. \[\frac{1}{19} + \frac{1}{2} = \frac{1 \cdot 2}{19 \cdot 2} + \frac{1 \cdot 19}{2 \cdot 19} = \frac{2}{38} + \frac{19}{38} = \frac{2+19}{38} = \frac{21}{38}\]

10. \[\frac{5}{12} + \frac{1}{7} = \frac{5 \cdot 7}{12 \cdot 7} + \frac{1 \cdot 12}{7 \cdot 12} = \frac{35}{84} + \frac{12}{84} = \frac{35+12}{84} = \frac{47}{84}\]

11. \[\frac{4}{17} + \frac{1}{10} = \frac{4 \cdot 10}{17 \cdot 10} + \frac{1 \cdot 17}{10 \cdot 17} = \frac{40}{170} + \frac{17}{170} = \frac{40+17}{170} = \frac{57}{170}\]

12. \[\frac{8}{11} + \frac{1}{9} = \frac{8 \cdot 9}{11 \cdot 9} + \frac{1 \cdot 11}{9 \cdot 11} = \frac{72}{99} + \frac{11}{99} = \frac{72+11}{99} = \frac{83}{99}\]

13. \[\frac{5}{12} + \frac{1}{7} = \frac{5 \cdot 7}{12 \cdot 7} + \frac{1 \cdot 12}{7 \cdot 12} = \frac{35}{84} + \frac{12}{84} = \frac{35+12}{84} = \frac{47}{84}\]

14. \[\frac{10}{13} + \frac{3}{8} = \frac{10 \cdot 8}{13 \cdot 8} + \frac{3 \cdot 13}{8 \cdot 13} = \frac{80}{104} + \frac{39}{104} = \frac{80+39}{104} = \frac{119}{104}\]

Ответ: смотри решение выше