Вопрос:

Calculate the following expressions: г) \( \frac{3}{8} : \frac{1}{4} = \) д) \( -1 \frac{1}{5} : \left( -\frac{3}{4} \right) = \) е) \( \frac{4}{15} : \left( -3 \frac{1}{15} \right) = \) в) \( \frac{3}{16} : \left( -\frac{5}{12} \right) = \) г) \( -3 \frac{1}{4} : (-1) = \) \( -1 \frac{2}{3} : \left( -1 \frac{1}{10} \right) = \)

Ответ:

Решение:

г) \( \frac{3}{8} : \frac{1}{4} = \frac{3}{8} \cdot \frac{4}{1} = \frac{12}{8} = \frac{3}{2} = 1.5 \)

д) \( -1 \frac{1}{5} : \left( -\frac{3}{4} \right) = -\frac{6}{5} : \left( -\frac{3}{4} \right) = \frac{6}{5} \cdot \frac{4}{3} = \frac{24}{15} = \frac{8}{5} = 1.6 \)

е) \( \frac{4}{15} : \left( -3 \frac{1}{15} \right) = \frac{4}{15} : \left( -\frac{46}{15} \right) = \frac{4}{15} \cdot \left( -\frac{15}{46} \right) = -\frac{4}{46} = -\frac{2}{23} \)

в) \( \frac{3}{16} : \left( -\frac{5}{12} \right) = \frac{3}{16} \cdot \left( -\frac{12}{5} \right) = -\frac{36}{80} = -\frac{9}{20} = -0.45 \)

г) \( -3 \frac{1}{4} : (-1) = -\frac{13}{4} : (-1) = \frac{13}{4} = 3.25 \)

е) \( -1 \frac{2}{3} : \left( -1 \frac{1}{10} \right) = -\frac{5}{3} : \left( -\frac{11}{10} \right) = \frac{5}{3} \cdot \frac{10}{11} = \frac{50}{33} \)

Ответ: г) 1.5; д) 1.6; е) -\(\frac{2}{23}\); в) -0.45; г) 3.25; е) \(\frac{50}{33}\).

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