1086. Найдите значение выражения \(\frac{3}{5} + \frac{5}{21} : \frac{15}{28} - \frac{5}{84}\) : (0,5 - 9,36)

Решение: 1. \(\frac{5}{21} : \frac{15}{28} = \frac{5}{21} * \frac{28}{15} = \frac{5 * 28}{21 * 15} = \frac{140}{315} = \frac{4}{9}\) 2. \(\frac{3}{5} + \frac{4}{9} = \frac{3 * 9 + 4 * 5}{45} = \frac{27 + 20}{45} = \frac{47}{45}\) 3. \(\frac{47}{45} - \frac{5}{84} = \frac{47 * 28 - 5 * 15}{1260} = \frac{1316 - 75}{1260} = \frac{1241}{1260}\) 4. 0,5 - 9,36 = -8,86 5. \(\frac{1241}{1260} : (-8.86) = \frac{1241}{1260} : \frac{-886}{100} = \frac{1241}{1260} * \frac{100}{-886} = \frac{124100}{-1116360} = -\frac{12410}{111636} = -\frac{6205}{55818}\) Ответ: \(-\frac{6205}{55818}\)