Ты просишь меня решить примеры с дробями: a) 3 6/5 + 6/7

Решим примеры с дробями: a) $3 \frac{6}{5} + \frac{6}{7} = \frac{3 \cdot 5 + 6}{5} + \frac{6}{7} = \frac{21}{5} + \frac{6}{7} = \frac{21 \cdot 7 + 6 \cdot 5}{5 \cdot 7} = \frac{147 + 30}{35} = \frac{177}{35} = 5 \frac{2}{35}$$ б) $5 \frac{1}{6} + 4 \frac{1}{4} = \frac{5 \cdot 6 + 1}{6} + \frac{4 \cdot 4 + 1}{4} = \frac{31}{6} + \frac{17}{4} = \frac{31 \cdot 2 + 17 \cdot 3}{12} = \frac{62 + 51}{12} = \frac{113}{12} = 9 \frac{5}{12}$$ в) $7 \frac{5}{8} - 6 \frac{1}{6} = \frac{7 \cdot 8 + 5}{8} - \frac{6 \cdot 6 + 1}{6} = \frac{61}{8} - \frac{37}{6} = \frac{61 \cdot 3 - 37 \cdot 4}{24} = \frac{183 - 148}{24} = \frac{35}{24} = 1 \frac{11}{24}$$ г) $3 \frac{4}{10} - \frac{1}{15} = \frac{3 \cdot 10 + 4}{10} - \frac{1}{15} = \frac{34}{10} - \frac{1}{15} = \frac{34 \cdot 3 - 1 \cdot 2}{30} = \frac{102 - 2}{30} = \frac{100}{30} = \frac{10}{3} = 3 \frac{1}{3}$$ д) $1 \frac{2}{3} + \frac{5}{6} = \frac{1 \cdot 3 + 2}{3} + \frac{5}{6} = \frac{5}{3} + \frac{5}{6} = \frac{5 \cdot 2 + 5}{6} = \frac{10 + 5}{6} = \frac{15}{6} = \frac{5}{2} = 2 \frac{1}{2}$$ e) $5 - 3 \frac{2}{7} = \frac{5 \cdot 7}{7} - \frac{3 \cdot 7 + 2}{7} = \frac{35}{7} - \frac{23}{7} = \frac{35 - 23}{7} = \frac{12}{7} = 1 \frac{5}{7}$$ ж) $4 \frac{3}{8} \cdot \frac{9}{6} = \frac{4 \cdot 8 + 3}{8} \cdot \frac{9}{6} = \frac{35}{8} \cdot \frac{9}{6} = \frac{35 \cdot 9}{8 \cdot 6} = \frac{315}{48} = \frac{105}{16} = 6 \frac{9}{16}$$ з) $5 \frac{5}{9} \cdot \frac{8}{10} = \frac{5 \cdot 9 + 5}{9} \cdot \frac{8}{10} = \frac{50}{9} \cdot \frac{8}{10} = \frac{5 \cdot 8}{9} = \frac{40}{9} = 4 \frac{4}{9}$$ и) $1 \frac{1}{9} \cdot 1 \frac{1}{2} = \frac{1 \cdot 9 + 1}{9} \cdot \frac{1 \cdot 2 + 1}{2} = \frac{10}{9} \cdot \frac{3}{2} = \frac{10 \cdot 3}{9 \cdot 2} = \frac{5 \cdot 1}{3 \cdot 1} = \frac{5}{3} = 1 \frac{2}{3}$$ к) $2 \frac{6}{7} : 1 \frac{3}{7} = \frac{2 \cdot 7 + 6}{7} : \frac{1 \cdot 7 + 3}{7} = \frac{20}{7} : \frac{10}{7} = \frac{20}{7} \cdot \frac{7}{10} = \frac{20}{10} = 2$ л) $6 \frac{3}{5} \cdot 10 = \frac{6 \cdot 5 + 3}{5} \cdot 10 = \frac{33}{5} \cdot 10 = 33 \cdot 2 = 66$ м) $3 \frac{2}{3} : \frac{1}{6} = \frac{3 \cdot 3 + 2}{3} : \frac{1}{6} = \frac{11}{3} : \frac{1}{6} = \frac{11}{3} \cdot 6 = 11 \cdot 2 = 22$ **Ответы:** а) $5 \frac{2}{35}$ б) $9 \frac{5}{12}$ в) $1 \frac{11}{24}$ г) $3 \frac{1}{3}$ д) $2 \frac{1}{2}$ е) $1 \frac{5}{7}$ ж) $6 \frac{9}{16}$ з) $4 \frac{4}{9}$ и) $1 \frac{2}{3}$ к) $2$ л) $66$ м) $22$