Вычислите:
а)

\frac{(\frac{3}{4} - \frac{1}{3}) : \frac{5}{7}}{(\frac{1}{4} + \frac{2}{3}) * \frac{6}{11}}

;
б)

\frac{\frac{3}{20} * (\frac{7}{12} - \frac{1}{2}) + \frac{79}{80}}{\frac{13}{24} : (\frac{7}{12} + \frac{1}{2}) - \frac{1}{4}}

;
в)

\frac{(3 + \frac{7}{11}) * \frac{1}{4} - \frac{1}{22}}{(5 - \frac{3}{11}) : 13 + \frac{1}{2}}

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Математика 5 класс Никольский. Номер №940

\frac{(\frac{3}{4} - \frac{1}{3}) : \frac{5}{7}}{(\frac{1}{4} + \frac{2}{3}) * \frac{6}{11}} = \frac{\frac{9 - 4}{12} : \frac{5}{7}}{\frac{3 + 8}{12} * \frac{6}{11}} = \frac{\frac{5}{12} * \frac{7}{5}}{\frac{11}{12} * \frac{6}{11}} = \frac{\frac{1}{12} * \frac{7}{1}}{\frac{1}{2} * \frac{1}{1}} = \frac{\frac{7}{12}}{\frac{1}{2}} = \frac{7}{12} * 2 = \frac{7}{6}

\frac{\frac{3}{20} * (\frac{7}{12} - \frac{1}{2}) + \frac{79}{80}}{\frac{13}{24} : (\frac{7}{12} + \frac{1}{2}) - \frac{1}{4}} = \frac{\frac{3}{20} * \frac{7 - 6}{12} + \frac{79}{80}}{\frac{13}{24} : \frac{7 + 6}{12} - \frac{1}{4}} = \frac{\frac{3}{20} * \frac{1}{12} + \frac{79}{80}}{\frac{13}{24} : \frac{13}{12} - \frac{1}{4}} = \frac{\frac{1}{20} * \frac{1}{4} + \frac{79}{80}}{\frac{13}{24} * \frac{12}{13} - \frac{1}{4}} = \frac{\frac{1}{80} + \frac{79}{80}}{\frac{1}{2} * \frac{1}{1} - \frac{1}{4}} = \frac{1}{\frac{2 - 1}{4}} = \frac{1}{\frac{1}{4}} = 1 * 4 = 4

\frac{(3 + \frac{7}{11}) * \frac{1}{4} - \frac{1}{22}}{(5 - \frac{3}{11}) : 13 + \frac{1}{2}} = \frac{\frac{33 + 7}{11} * \frac{1}{4} - \frac{1}{22}}{\frac{55 - 3}{11} * \frac{1}{13} + \frac{1}{2}} = \frac{\frac{40}{11} * \frac{1}{4} - \frac{1}{22}}{\frac{52}{11} * \frac{1}{13} + \frac{1}{2}} = \frac{\frac{10}{11} - \frac{1}{22}}{\frac{4}{11} + \frac{1}{2}} = \frac{\frac{20 - 1}{22}}{\frac{8 + 11}{22}} = \frac{\frac{19}{22}}{\frac{19}{22}} = 1

ГДЗ Математика 5 класс Никольский, Потапов, Решетников