Задание 1. Найдите значение выражения. 1) (\frac{1}{17}+\frac{1}{4}) \cdot \frac{1}{34}; 2) (\frac{3}{4}-\frac{2}{10}) \cdot \frac{1}{12}; 3) (\frac{7}{9}+1\frac{4}{5}) : \frac{1}{18}; 4) (\frac{4}{11}-2\frac{1}{4}):\frac{1}{22}; 5) (\frac{13}{24}+1\frac{1}{15}) : \frac{1}{24}; 6) (\frac{15}{26}-2\frac{3}{4}) : \frac{1}{26}

1) (\frac{1}{17}+\frac{1}{4}) \cdot \frac{1}{34} = (\frac{4}{68} + \frac{17}{68}) \cdot \frac{1}{34} = \frac{21}{68} \cdot \frac{1}{34} = \frac{21}{2312}

Ответ: \frac{21}{2312}

2) (\frac{3}{4}-\frac{2}{10}) \cdot \frac{1}{12} = (\frac{15}{20} - \frac{4}{20}) \cdot \frac{1}{12} = \frac{11}{20} \cdot \frac{1}{12} = \frac{11}{240}

Ответ: \frac{11}{240}

3) (\frac{7}{9}+1\frac{4}{5}) : \frac{1}{18} = (\frac{7}{9} + \frac{9}{5}) : \frac{1}{18} = (\frac{35}{45} + \frac{81}{45}) : \frac{1}{18} = \frac{116}{45} : \frac{1}{18} = \frac{116}{45} \cdot 18 = \frac{116 \cdot 18}{45} = \frac{2088}{45} = \frac{232}{5} = 46\frac{2}{5}

Ответ: 46\frac{2}{5}

4) (\frac{4}{11}-2\frac{1}{4}):\frac{1}{22} = (\frac{4}{11} - \frac{9}{4}) : \frac{1}{22} = (\frac{16}{44} - \frac{99}{44}) : \frac{1}{22} = -\frac{83}{44} : \frac{1}{22} = -\frac{83}{44} \cdot 22 = -\frac{83 \cdot 22}{44} = -\frac{83}{2} = -41\frac{1}{2}

Ответ: -41\frac{1}{2}

5) (\frac{13}{24}+1\frac{1}{15}) : \frac{1}{24} = (\frac{13}{24} + \frac{16}{15}) : \frac{1}{24} = (\frac{65}{120} + \frac{128}{120}) : \frac{1}{24} = \frac{193}{120} : \frac{1}{24} = \frac{193}{120} \cdot 24 = \frac{193 \cdot 24}{120} = \frac{193}{5} = 38\frac{3}{5}

Ответ: 38\frac{3}{5}

6) (\frac{15}{26}-2\frac{3}{4}) : \frac{1}{26} = (\frac{15}{26} - \frac{11}{4}) : \frac{1}{26} = (\frac{30}{52} - \frac{143}{52}) : \frac{1}{26} = -\frac{113}{52} : \frac{1}{26} = -\frac{113}{52} \cdot 26 = -\frac{113 \cdot 26}{52} = -\frac{113}{2} = -56\frac{1}{2}

Ответ: -56\frac{1}{2}