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

а) \(5\frac{3}{8}+6\frac{1}{8}-6\frac{9}{16} = \frac{43}{8} + \frac{49}{8} - \frac{105}{16} = \frac{86 + 98 - 105}{16} = \frac{79}{16} = 4\frac{15}{16}\)

б) \(6\frac{11}{16}+3\frac{1}{8}-10\frac{3}{16} = \frac{107}{16} + \frac{25}{8} - \frac{163}{16} = \frac{107 + 50 - 163}{16} = \frac{-6}{16} = -\frac{3}{8}\)

в) \(10\frac{9}{13}-3\frac{2}{5}+10\frac{3}{5} = \frac{139}{13} - \frac{17}{5} + \frac{53}{5} = \frac{139}{13} + \frac{36}{5} = \frac{139 \cdot 5 + 36 \cdot 13}{65} = \frac{695 + 468}{65} = \frac{1163}{65} = 17\frac{58}{65}\)

д) \(9\frac{5}{18}-3\frac{1}{1}-2\frac{8}{16} = \frac{167}{18} - 4 - \frac{40}{16} = \frac{167}{18} - 4 - \frac{5}{2} = \frac{167 - 72 - 45}{18} = \frac{50}{18} = \frac{25}{9} = 2\frac{7}{9}\)

е) \(3\frac{1}{35}:2\frac{1}{9} = \frac{106}{35} : \frac{19}{9} = \frac{106}{35} \cdot \frac{9}{19} = \frac{954}{665} = \frac{477}{333}\)

ж) \(3\frac{7}{15}:25\frac{8}{10} = \frac{52}{15} : \frac{258}{10} = \frac{52}{15} \cdot \frac{10}{258} = \frac{520}{3870} = \frac{52}{387} = \frac{10}{77}\)

з) \(3\frac{3}{5}:2\frac{7}{10} = \frac{18}{5} : \frac{27}{10} = \frac{18}{5} \cdot \frac{10}{27} = \frac{180}{135} = \frac{4}{3} = 1\frac{1}{3}\)