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

Ответ: а) 9\(\frac{1}{2}\); в) 7\(\frac{6}{13}\); г) 12\(\frac{4}{5}\); д) \(\frac{2}{7}\); е) \(\frac{7}{6}\); ж) \(\frac{40}{9}\); з) \(\frac{8}{5}\)

1. а) \(5\frac{3}{8}+6\frac{1}{8}:6\frac{9}{16}+3\frac{11}{16} = \frac{43}{8} + \frac{49}{8} : \frac{105}{16} + \frac{59}{16} = \frac{43}{8} + \frac{49}{8} \cdot \frac{16}{105} + \frac{59}{16} = \frac{43}{8} + \frac{14}{15} + \frac{59}{16} = \frac{969}{120} + \frac{112}{120} + \frac{442}{120} = \frac{1523}{120} = 9\frac{1}{2}\)
2. в) \(10\frac{9}{13}-3\frac{3}{13} = \frac{139}{13} - \frac{42}{13} = \frac{97}{13} = 7\frac{6}{13}\)
3. г) \(18\frac{2}{5}-5\frac{3}{5} = \frac{92}{5} - \frac{28}{5} = \frac{64}{5} = 12\frac{4}{5}\)
4. д) \(\frac{5}{9}\cdot\frac{18}{35} = \frac{5 \cdot 18}{9 \cdot 35} = \frac{90}{315} = \frac{2}{7}\)
5. е) \(3\frac{1}{9}:2\frac{1}{7} = \frac{28}{9} : \frac{15}{7} = \frac{28}{9} \cdot \frac{7}{15} = \frac{196}{135} = \frac{7}{6}\)
6. ж) \(\frac{8}{15}:\frac{3}{25} = \frac{8}{15} \cdot \frac{25}{3} = \frac{8 \cdot 25}{15 \cdot 3} = \frac{200}{45} = \frac{40}{9}\)
7. з) \(3\frac{3}{5}:2\frac{7}{10} = \frac{18}{5} : \frac{27}{10} = \frac{18}{5} \cdot \frac{10}{27} = \frac{180}{135} = \frac{8}{5}\)

Ответ: а) 9\(\frac{1}{2}\); в) 7\(\frac{6}{13}\); г) 12\(\frac{4}{5}\); д) \(\frac{2}{7}\); е) \(\frac{7}{6}\); ж) \(\frac{40}{9}\); з) \(\frac{8}{5}\)