Контрольные задания
Вопрос:Фото задания: 6) Выполните деление: a) 18: 10 7/20 = 4 1/2 : 2/3 = 5 17/24 : 2/3 = б) 63 1/3 : 5 2/11 = 6 1/8 : 3 1/2 = 5 9/11 : 13 5/7 =…Фото задания

Ответ:

a) $$18 : 10 \frac{7}{20} = 18 : \frac{207}{20} = 18 \cdot \frac{20}{207} = \frac{18 \cdot 20}{207} = \frac{360}{207} = \frac{40}{23} = 1 \frac{17}{23}$$

Ответ: $$1 \frac{17}{23}$$

$$4 \frac{1}{2} : \frac{2}{3} = \frac{9}{2} : \frac{2}{3} = \frac{9}{2} \cdot \frac{3}{2} = \frac{9 \cdot 3}{2 \cdot 2} = \frac{27}{4} = 6 \frac{3}{4}$$

Ответ: $$6 \frac{3}{4}$$

$$5 \frac{17}{24} : \frac{2}{3} = \frac{137}{24} : \frac{2}{3} = \frac{137}{24} \cdot \frac{3}{2} = \frac{137 \cdot 3}{24 \cdot 2} = \frac{411}{48} = \frac{137}{16} = 8 \frac{9}{16}$$

Ответ: $$8 \frac{9}{16}$$

б) $$63 \frac{1}{3} : 5 \frac{2}{11} = \frac{190}{3} : \frac{57}{11} = \frac{190}{3} \cdot \frac{11}{57} = \frac{190 \cdot 11}{3 \cdot 57} = \frac{2090}{171} = \frac{2090}{171} = \frac{2090:19}{171:19} \approx 12.222 \neq $$

$$ \frac{2090}{171} = 12 \frac{38}{171} = 12 \frac{38:19}{171:19}= 12 \frac{2}{9}$$

Ответ: $$12 \frac{2}{9}$$

$$6 \frac{1}{8} : 3 \frac{1}{2} = \frac{49}{8} : \frac{7}{2} = \frac{49}{8} \cdot \frac{2}{7} = \frac{49 \cdot 2}{8 \cdot 7} = \frac{98}{56} = \frac{7}{4} = 1 \frac{3}{4}$$

Ответ: $$1 \frac{3}{4}$$

$$5 \frac{9}{11} : 13 \frac{5}{7} = \frac{64}{11} : \frac{96}{7} = \frac{64}{11} \cdot \frac{7}{96} = \frac{64 \cdot 7}{11 \cdot 96} = \frac{448}{1056} = \frac{7}{16.5}$$

$$5 \frac{9}{11} : 13 \frac{5}{7} = \frac{28}{66} = \frac{14}{33}$$

Ответ: 14/33

г) $$32 : 9 \frac{3}{5} = 32 : \frac{48}{5} = 32 \cdot \frac{5}{48} = \frac{32 \cdot 5}{48} = \frac{160}{48} = \frac{10}{3} = 3 \frac{1}{3}$$

Ответ: $$3 \frac{1}{3}$$

$$25 \frac{5}{7} : 1 \frac{1}{35} = \frac{180}{7} : \frac{36}{35} = \frac{180}{7} \cdot \frac{35}{36} = \frac{180 \cdot 35}{7 \cdot 36} = \frac{6300}{252} = 25$$

Ответ: 25

$$21 \frac{7}{9} : 4 \frac{2}{3} = \frac{196}{9} : \frac{14}{3} = \frac{196}{9} \cdot \frac{3}{14} = \frac{196 \cdot 3}{9 \cdot 14} = \frac{588}{126} = \frac{42 \cdot 14}{9 \cdot 14} = \frac{42}{9} = \frac{14}{3} = 4 \frac{2}{3}$$

Ответ: $$4 \frac{2}{3}$$