3. Вычислите: а) \frac{5}{18} + \frac{5}{18}, б) \frac{6}{5} - \frac{5}{6}, в) \frac{7}{25} + \frac{4}{5}, г) \frac{11}{48} - \frac{11}{64}, д) \frac{1}{3} \cdot \frac{1}{5}, е) \frac{6}{15} : \frac{4}{35}

а) \frac{5}{18} + \frac{5}{18} = \frac{5+5}{18} = \frac{10}{18} = \frac{5}{9} б) \frac{6}{5} - \frac{5}{6}. НОЗ(5, 6) = 30. \frac{6*6}{5*6} - \frac{5*5}{6*5} = \frac{36}{30} - \frac{25}{30} = \frac{36-25}{30} = \frac{11}{30} в) \frac{7}{25} + \frac{4}{5}. НОЗ(25, 5) = 25. \frac{7}{25} + \frac{4*5}{5*5} = \frac{7}{25} + \frac{20}{25} = \frac{7+20}{25} = \frac{27}{25} = 1\frac{2}{25} г) \frac{11}{48} - \frac{11}{64}. НОЗ(48, 64) = 192. \frac{11*4}{48*4} - \frac{11*3}{64*3} = \frac{44}{192} - \frac{33}{192} = \frac{44-33}{192} = \frac{11}{192} д) \frac{1}{3} \cdot \frac{1}{5} = \frac{1*1}{3*5} = \frac{1}{15} е) \frac{6}{15} : \frac{4}{35} = \frac{6}{15} \cdot \frac{35}{4} = \frac{6*35}{15*4} = \frac{210}{60} = \frac{21}{6} = \frac{7}{2} = 3\frac{1}{2} Ответ: а) \frac{5}{9}, б) \frac{11}{30}, в) 1\frac{2}{25}, г) \frac{11}{192}, д) \frac{1}{15}, е) 3\frac{1}{2}