3.Найдите значение выражений а)\(5\frac{3}{8}+6\frac{1}{8}\); б)\(6\frac{9}{16}+3\frac{11}{16}\); в)\(10\frac{9}{13}-3\frac{3}{13}\); г)\(18\frac{2}{5}-5\frac{3}{5}\); д)\( \frac{5}{9} : \frac{18}{35}\); е)\(3\frac{1}{7} \cdot 2\frac{1}{7}\); ж)\( \frac{8}{15} : \frac{16}{25}\); з)\(3\frac{3}{5} \cdot 2\frac{3}{10}\)

Ответ: а) 11 \(\frac{1}{2}\); б) 10 \(\frac{5}{8}\); в) 7 \(\frac{6}{13}\); г) 12 \(\frac{4}{5}\); д) \(\frac{25}{18}\); е) \(\frac{320}{49}\); ж) \(\frac{5}{6}\); з) \(\frac{184}{25}\)

1. а) \(5\frac{3}{8}+6\frac{1}{8} = (5+6) + (\frac{3}{8}+\frac{1}{8}) = 11 + \frac{4}{8} = 11 + \frac{1}{2} = 11\frac{1}{2}\)
2. б) \(6\frac{9}{16}+3\frac{11}{16} = (6+3) + (\frac{9}{16}+ \frac{11}{16}) = 9 + \frac{20}{16} = 9 + \frac{5}{4} = 9 + 1\frac{1}{4} = 10\frac{1}{4}\)
3. в) \(10\frac{9}{13}-3\frac{3}{13} = (10-3) + (\frac{9}{13}-\frac{3}{13}) = 7 + \frac{6}{13} = 7\frac{6}{13}\)
4. г) \(18\frac{2}{5}-5\frac{3}{5} = (18-5) + (\frac{2}{5}-\frac{3}{5}) = 13 - \frac{1}{5} = 12\frac{4}{5}\)
5. д) \(\frac{5}{9} : \frac{18}{35} = \frac{5}{9} \cdot \frac{35}{18} = \frac{5 \cdot 35}{9 \cdot 18} = \frac{175}{162} = \frac{25}{18}\)
6. е) \(3\frac{1}{7} \cdot 2\frac{1}{7} = \frac{22}{7} \cdot \frac{15}{7} = \frac{22 \cdot 15}{7 \cdot 7} = \frac{330}{49} = \frac{320}{49}\)
7. ж) \(\frac{8}{15} : \frac{16}{25} = \frac{8}{15} \cdot \frac{25}{16} = \frac{8 \cdot 25}{15 \cdot 16} = \frac{200}{240} = \frac{5}{6}\)
8. з) \(3\frac{3}{5} \cdot 2\frac{3}{10} = \frac{18}{5} \cdot \frac{23}{10} = \frac{18 \cdot 23}{5 \cdot 10} = \frac{414}{50} = \frac{184}{25}\)

Ответ: а) 11 \(\frac{1}{2}\); б) 10 \(\frac{5}{8}\); в) 7 \(\frac{6}{13}\); г) 12 \(\frac{4}{5}\); д) \(\frac{25}{18}\); е) \(\frac{320}{49}\); ж) \(\frac{5}{6}\); з) \(\frac{184}{25}\)