Вычисли выражения с дробями.

1. $9 \frac{7}{6} + 6 \frac{5}{15} = 9 + 6 + \frac{7}{6} + \frac{5}{15} = 15 + \frac{35}{30} + \frac{10}{30} = 15 + \frac{45}{30} = 15 + 1 \frac{15}{30} = 16 \frac{1}{2}$ **Ответ: 16 \frac{1}{2}** 2. $(3 \frac{2}{4}) \cdot (3 \frac{4}{8}) = (3 \frac{1}{2}) \cdot (3 \frac{1}{2}) = (\frac{7}{2}) \cdot (\frac{7}{2}) = \frac{49}{4} = 12 \frac{1}{4}$ **Ответ: 12 \frac{1}{4}** 3. $ \frac{2}{7} + \frac{3}{8}$. Чтобы сложить дроби, нужно привести их к общему знаменателю. В данном случае это 56. $\frac{2}{7} + \frac{3}{8} = \frac{2 \cdot 8}{7 \cdot 8} + \frac{3 \cdot 7}{8 \cdot 7} = \frac{16}{56} + \frac{21}{56} = \frac{16 + 21}{56} = \frac{37}{56}$ **Ответ: $\frac{37}{56}$** 4. $9 \frac{5}{9} + (7 \frac{4}{18}) = 9 \frac{10}{18} + 7 \frac{4}{18} = 16 \frac{14}{18} = 16 \frac{7}{9}$ **Ответ: 16 \frac{7}{9}** 5. $1 \frac{4}{7} - \frac{16}{21} = \frac{11}{7} - \frac{16}{21} = \frac{33}{21} - \frac{16}{21} = \frac{33 - 16}{21} = \frac{17}{21}$ **Ответ: $\frac{17}{21}$** 6. $1 \frac{5}{12} = \frac{17}{12}$ **Ответ: $\frac{17}{12}$** 7. $39 \cdot (1 \frac{9}{46}) = 39 \cdot (\frac{55}{46}) = \frac{39 \cdot 55}{46} = \frac{2145}{46} = 46 \frac{29}{46}$ **Ответ: 46$\frac{29}{46}$** 8. $14 \cdot (34 \frac{17}{51}) = 14 \cdot (34 \frac{1}{3}) = 14 \cdot (\frac{103}{3}) = \frac{14 \cdot 103}{3} = \frac{1442}{3} = 480 \frac{2}{3}$ **Ответ: 480 $\frac{2}{3}$** 9. $16 \frac{3}{13} + (4 \frac{8}{13}) = 16 + 4 + \frac{3}{13} + \frac{8}{13} = 20 + \frac{11}{13} = 20 \frac{11}{13}$ **Ответ: 20 $\frac{11}{13}$** 10. $15 \frac{8}{15} + (5 \frac{11}{12}) = 15 + 5 + \frac{8}{15} + \frac{11}{12} = 20 + \frac{32}{60} + \frac{55}{60} = 20 + \frac{87}{60} = 20 + 1 \frac{27}{60} = 21 \frac{9}{20}$ **Ответ: 21$\frac{9}{20}$** 11. $15 \frac{8}{13} + (7 \frac{11}{16}) = 15 + 7 + \frac{8}{13} + \frac{11}{16} = 22 + \frac{128}{208} + \frac{143}{208} = 22 + \frac{271}{208} = 22 + 1 \frac{63}{208} = 23 \frac{63}{208}$ **Ответ: 23 $\frac{63}{208}$** 12. $10 \frac{9}{12} - (2 \frac{11}{9}) = 10 \frac{3}{4} - 2 \frac{11}{9} = 10 + \frac{3}{4} - 2 - \frac{11}{9} = 8 + \frac{27}{36} - \frac{44}{36} = 8 - \frac{17}{36} = 7 + 1 - \frac{17}{36} = 7 + \frac{36}{36} - \frac{17}{36} = 7 \frac{19}{36}$ **Ответ: 7 $\frac{19}{36}$** 13. $39 \frac{7}{11} - (14 \frac{1}{6}) = 39 + \frac{7}{11} - 14 - \frac{1}{6} = 25 + \frac{42}{66} - \frac{11}{66} = 25 + \frac{31}{66} = 25 \frac{31}{66}$ **Ответ: 25 $\frac{31}{66}$**