Решебник по математике 6 класс Мерзляк ФГОС Задание 352

\[\boxed{\mathbf{352\ (352).}\mathbf{\ }Еуроки\ - \ ДЗ\ без\ мороки}\]

\[1)\ 4\frac{2}{3} \cdot 6 - 1\frac{23}{42} \cdot 3\frac{1}{13} + 2\frac{1}{8} \cdot 1\frac{29}{51} =\]

\[= \frac{14}{3} \cdot 6 - \frac{65}{42} \cdot \frac{40}{13} + \frac{17}{8} \cdot \frac{80}{51} =\]

\[= 28 - \frac{100}{21} + \frac{70}{21} =\]

\[= 28 - \frac{100 - 70}{21} = 28 - \frac{30}{21} =\]

\[= 28 - \frac{10}{7} = 27\frac{7}{7} - 1\frac{3}{7} = 26\frac{4}{7}\]

\[= \frac{157}{36} = 4\frac{13}{36}\]

\[4)\ \left( \frac{5^{\backslash 5}}{12} + \frac{13^{\backslash 3}}{20} \right) \cdot 1\frac{13}{32} =\]

\[= \left( \frac{25 + 39}{60} \right)^{2} \cdot \frac{45}{32} =\]

\[= \left( \frac{64}{60} \right)^{2} \cdot \frac{45}{32} = \left( \frac{16}{15} \right)^{2} \cdot \frac{45}{32} =\]

\[\boxed{\mathbf{352}\mathbf{.}}\]

\[1)\ 36 \cdot \frac{1}{3} = 12\]

\[2)\ 36 \cdot \frac{5}{6} = 6 \cdot 5 = 30\]

\[3)\ 36 \cdot \frac{4}{9} = 4 \cdot 4 = 16\]

\[4)\ 36 \cdot \frac{11}{18} = 2 \cdot 11 = 22\]