Контрольные задания > 2) \(\frac{3}{7} \cdot \frac{3}{10}:\frac{9}{14}=\) 3) \(\frac{11}{28} \cdot \frac{2}{5}:\frac{16}{55}=\) 4) \(\frac{11}{36} : \frac{2}{9} \cdot \frac{8}{77}=\) 7) \(\frac{4}{33} : \frac{121}{14} \cdot \frac{55}{42} \cdot 3 =\) 8) \(5 \cdot \frac{4}{25} : \frac{7}{18} \cdot \frac{28}{36}=\) 9) \(\frac{81}{49} : 6 \cdot \frac{42}{51} : \frac{3}{17}=\)
Вопрос:

2) \(\frac{3}{7} \cdot \frac{3}{10}:\frac{9}{14}=\) 3) \(\frac{11}{28} \cdot \frac{2}{5}:\frac{16}{55}=\) 4) \(\frac{11}{36} : \frac{2}{9} \cdot \frac{8}{77}=\) 7) \(\frac{4}{33} : \frac{121}{14} \cdot \frac{55}{42} \cdot 3 =\) 8) \(5 \cdot \frac{4}{25} : \frac{7}{18} \cdot \frac{28}{36}=\) 9) \(\frac{81}{49} : 6 \cdot \frac{42}{51} : \frac{3}{17}=\)

Смотреть решения всех заданий с листа

Ответ:

2) \(\frac{3}{7} \cdot \frac{3}{10}:\frac{9}{14}=\)

  • \(\frac{3}{7} \cdot \frac{3}{10} = \frac{3 \cdot 3}{7 \cdot 10} = \frac{9}{70}\)
  • \(\frac{9}{70} : \frac{9}{14} = \frac{9}{70} \cdot \frac{14}{9} = \frac{9 \cdot 14}{70 \cdot 9} = \frac{14}{70} = \frac{1}{5}\)

Ответ: \(\frac{1}{5}\)

3) \(\frac{11}{28} \cdot \frac{2}{5}:\frac{16}{55}=\)

  • \(\frac{11}{28} \cdot \frac{2}{5} = \frac{11 \cdot 2}{28 \cdot 5} = \frac{22}{140} = \frac{11}{70}\)
  • \(\frac{11}{70} : \frac{16}{55} = \frac{11}{70} \cdot \frac{55}{16} = \frac{11 \cdot 55}{70 \cdot 16} = \frac{605}{1120} = \frac{121}{224}\)

Ответ: \(\frac{121}{224}\)

4) \(\frac{11}{36} : \frac{2}{9} \cdot \frac{8}{77}=\)

  • \(\frac{11}{36} : \frac{2}{9} = \frac{11}{36} \cdot \frac{9}{2} = \frac{11 \cdot 9}{36 \cdot 2} = \frac{99}{72} = \frac{11}{8}\)
  • \(\frac{11}{8} \cdot \frac{8}{77} = \frac{11 \cdot 8}{8 \cdot 77} = \frac{88}{616} = \frac{1}{7}\)

Ответ: \(\frac{1}{7}\)

7) \(\frac{4}{33} : \frac{121}{14} \cdot \frac{55}{42} \cdot 3 =\)

  • \(\frac{4}{33} : \frac{121}{14} = \frac{4}{33} \cdot \frac{14}{121} = \frac{4 \cdot 14}{33 \cdot 121} = \frac{56}{3993}\)
  • \(\frac{56}{3993} \cdot \frac{55}{42} = \frac{56 \cdot 55}{3993 \cdot 42} = \frac{3080}{167706} = \frac{40}{2187}\)
  • \(\frac{40}{2187} \cdot 3 = \frac{40 \cdot 3}{2187} = \frac{120}{2187} = \frac{40}{729}\)

Ответ: \(\frac{40}{729}\)

8) \(5 \cdot \frac{4}{25} : \frac{7}{18} \cdot \frac{28}{36}=\)

  • \(5 \cdot \frac{4}{25} = \frac{5 \cdot 4}{25} = \frac{20}{25} = \frac{4}{5}\)
  • \(\frac{4}{5} : \frac{7}{18} = \frac{4}{5} \cdot \frac{18}{7} = \frac{4 \cdot 18}{5 \cdot 7} = \frac{72}{35}\)
  • \(\frac{72}{35} \cdot \frac{28}{36} = \frac{72 \cdot 28}{35 \cdot 36} = \frac{2016}{1260} = \frac{8}{5}\)

Ответ: \(\frac{8}{5}\)

9) \(\frac{81}{49} : 6 \cdot \frac{42}{51} : \frac{3}{17}=\)

  • \(\frac{81}{49} : 6 = \frac{81}{49} \cdot \frac{1}{6} = \frac{81}{49 \cdot 6} = \frac{81}{294} = \frac{27}{98}\)
  • \(\frac{27}{98} \cdot \frac{42}{51} = \frac{27 \cdot 42}{98 \cdot 51} = \frac{1134}{4998} = \frac{27}{119}\)
  • \(\frac{27}{119} : \frac{3}{17} = \frac{27}{119} \cdot \frac{17}{3} = \frac{27 \cdot 17}{119 \cdot 3} = \frac{459}{357} = \frac{9}{7}\)

Ответ: \(\frac{9}{7}\)

ГДЗ по фото 📸
Подать жалобу Правообладателю