Контрольная работа № 11 (п. 37-40) Вариант 1 1. Выполните действие: 35 a) 11 65 б) 25 18 3 в) 3-1 5 10 д : 27 г) 1-14; 12 e) - 6. 13

а) \[\frac{3}{7} \times \frac{5}{11} = \frac{3 \times 5}{7 \times 11} = \frac{15}{77}\]

б) \[\frac{6}{25} : \frac{5}{18} = \frac{6}{25} \times \frac{18}{5} = \frac{6 \times 18}{25 \times 5} = \frac{108}{125}\]

в) \[3 \frac{3}{5} - 1 \frac{1}{9} = \frac{3 \times 5 + 3}{5} - \frac{1 \times 9 + 1}{9} = \frac{18}{5} - \frac{10}{9} = \frac{18 \times 9 - 10 \times 5}{45} = \frac{162 - 50}{45} = \frac{112}{45} = 2 \frac{22}{45}\]

г) \[1 \frac{5}{12} - 14 = \frac{1 \times 12 + 5}{12} - 14 = \frac{17}{12} - 14 = \frac{17 - 14 \times 12}{12} = \frac{17 - 168}{12} = - \frac{151}{12} = -12 \frac{7}{12}\]

д) \[\frac{5}{9} : \frac{10}{27} = \frac{5}{9} \times \frac{27}{10} = \frac{5 \times 27}{9 \times 10} = \frac{135}{90} = \frac{3}{2} = 1 \frac{1}{2}\]

е) \[\frac{12}{13} : 6 = \frac{12}{13} : \frac{6}{1} = \frac{12}{13} \times \frac{1}{6} = \frac{12 \times 1}{13 \times 6} = \frac{12}{78} = \frac{2}{13}\]