Вопрос:

Вариант – 2

Фотография

Ответ ассистента

Решение примеров Варианта 2: **Левый столбец:** 1) $\frac{75}{150} : \frac{5}{50} = \frac{1}{2} : \frac{1}{10} = \frac{1}{2} \cdot 10 = 5$ 2) $\frac{3}{20} : \frac{17}{10} = \frac{3}{20} \cdot \frac{10}{17} = \frac{3 \cdot 1}{2 \cdot 17} = \frac{3}{34}$ 3) $\frac{8}{11} : \frac{4}{99} = \frac{8}{11} \cdot \frac{99}{4} = 2 \cdot 9 = 18$ 4) $\frac{16}{17} : \frac{7}{34} = \frac{16}{17} \cdot \frac{34}{7} = \frac{16 \cdot 2}{7} = \frac{32}{7} = 4\frac{4}{7}$ 5) $\frac{12}{26} : \frac{8}{13} = \frac{6}{13} : \frac{8}{13} = \frac{6}{13} \cdot \frac{13}{8} = \frac{6}{8} = \frac{3}{4}$ 6) $\frac{9}{42} : \frac{12}{21} = \frac{3}{14} : \frac{4}{7} = \frac{3}{14} \cdot \frac{7}{4} = \frac{3}{2 \cdot 4} = \frac{3}{8}$ 7) $\frac{17}{50} : \frac{18}{51} = \frac{17}{50} : \frac{6}{17} = \frac{17 \cdot 17}{50 \cdot 6} = \frac{289}{300}$ 8) $\frac{3}{10} : \frac{27}{30} = \frac{3}{10} : \frac{9}{10} = \frac{3}{10} \cdot \frac{10}{9} = \frac{1}{3}$ 9) $\frac{4}{11} : \frac{5}{22} = \frac{4}{11} \cdot \frac{22}{5} = \frac{4 \cdot 2}{5} = \frac{8}{5} = 1\frac{3}{5}$ 10) $\frac{63}{93} : \frac{30}{31} = \frac{21}{31} : \frac{30}{31} = \frac{21}{31} \cdot \frac{31}{30} = \frac{21}{30} = \frac{7}{10}$ **Правый столбец:** 1) $\frac{8}{15} \cdot \frac{12}{120} \cdot \frac{30}{40} = \frac{8}{15} \cdot \frac{1}{10} \cdot \frac{3}{4} = \frac{8 \cdot 3}{15 \cdot 10 \cdot 4} = \frac{24}{600} = \frac{1}{25}$ 2) $\frac{4}{3} : \frac{12}{20} \cdot \frac{1}{5} = \frac{4}{3} \cdot \frac{20}{12} \cdot \frac{1}{5} = \frac{4 \cdot 20 \cdot 1}{3 \cdot 12 \cdot 5} = \frac{80}{180} = \frac{4}{9}$ 3) $\frac{6}{10} \cdot \frac{5}{44} : \frac{2}{11} = \frac{3}{5} \cdot \frac{5}{44} \cdot \frac{11}{2} = \frac{3 \cdot 5 \cdot 11}{5 \cdot 44 \cdot 2} = \frac{3}{4 \cdot 2} = \frac{3}{8}$ 4) $\frac{13}{50} : \frac{26}{12} : \frac{52}{13} = \frac{13}{50} \cdot \frac{12}{26} \cdot \frac{13}{52} = \frac{13 \cdot 12 \cdot 13}{50 \cdot 26 \cdot 52} = \frac{1 \cdot 12 \cdot 1}{50 \cdot 2 \cdot 4} = \frac{12}{400} = \frac{3}{100}$ 5) $\frac{3}{9} \cdot \frac{1}{6} \cdot \frac{18}{72} = \frac{1}{3} \cdot \frac{1}{6} \cdot \frac{1}{4} = \frac{1}{72}$ 6) $\frac{25}{10} : \frac{65}{90} : \frac{13}{45} = \frac{5}{2} \cdot \frac{90}{65} \cdot \frac{45}{13} = \frac{5}{2} \cdot \frac{18}{13} \cdot \frac{45}{13} = \frac{5 \cdot 9 \cdot 45}{13 \cdot 13} = \frac{2025}{169} = 11\frac{166}{169}$ 7) $\frac{4}{7} \cdot \frac{2}{16} : \frac{2}{21} = \frac{4}{7} \cdot \frac{1}{8} \cdot \frac{21}{2} = \frac{4 \cdot 21}{7 \cdot 8 \cdot 2} = \frac{1 \cdot 3}{2 \cdot 2} = \frac{3}{4}$ 8) $\frac{54}{8} : \frac{27}{16} : \frac{2}{3} = \frac{27}{4} \cdot \frac{16}{27} \cdot \frac{3}{2} = \frac{16 \cdot 3}{4 \cdot 2} = \frac{48}{8} = 6$ 9) $\frac{11}{99} : \frac{9}{88} \cdot \frac{8}{10} = \frac{1}{9} \cdot \frac{88}{9} \cdot \frac{4}{5} = \frac{1 \cdot 88 \cdot 4}{9 \cdot 9 \cdot 5} = \frac{352}{405}$ 10) $\frac{12}{18} : \frac{24}{9} \cdot \frac{9}{48} = \frac{2}{3} \cdot \frac{9}{24} \cdot \frac{9}{48} = \frac{2}{3} \cdot \frac{3}{8} \cdot \frac{3}{16} = \frac{18}{384} = \frac{3}{64}$

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