Решебник по алгебре 7 класс Мерзляк Задание 5

\[\boxed{\text{5\ (5).}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]

\[1)\ 3\frac{3}{23} \cdot \frac{23}{27} = \frac{72}{23} \cdot \frac{23}{27} = \frac{72}{27} =\]

\[= \frac{8}{3} = 2\frac{2}{3}\]

\[2)\ 1\frac{1}{5} \cdot \frac{1}{6} = \frac{6}{5} \cdot \frac{1}{6} = \frac{1}{5}\]

\[3)\ 14\frac{7}{15} - 2\frac{2^{\backslash 5}}{3} =\]

\[= 13\frac{22}{15} - 2\frac{10}{15} = 11\frac{12}{15} = 11\frac{4}{5}\]

\[4)\ 11\frac{4}{5} - \frac{1}{5} = 11\frac{3}{5}\]

\[Ответ:11\frac{3}{5}.\]

\[1)\ 5\frac{8}{9}\ :1\frac{17}{36} = \frac{53}{9}\ :\frac{53}{36} =\]

\[= \frac{53 \cdot 36}{9 \cdot 53} = 4\]

\[2)\ 4 + 1\frac{1}{4} = 5\frac{1}{4}\]

\[3)\ 5\frac{1}{4} \cdot \frac{5}{21} = \frac{21}{4} \cdot \frac{5}{21} = \frac{5}{4} = 1\frac{1}{4}\]

\[Ответ:1\frac{1}{4}.\]

\[1) - 3,25 - 2,75 = - 6\]

\[2) - 6\ :( - 0,6) = 60\ :6 = 10\]

\[3)\ 0,8 \cdot ( - 7) = - 5,6\ \]

\[4)\ 10 - 5,6 = 4,4\]

\[Ответ:4,4.\]

\[1) - 1\frac{3^{\backslash 3}}{8} - 2\frac{5^{\backslash 2}}{12} =\]

\[= - 1\frac{9}{24} - 2\frac{10}{24} = - 3\frac{19}{24}\]

\[2) - 3\frac{19}{24}\ :5\frac{5}{12} = - \frac{91}{24}\ :\frac{65}{12} =\]

\[= \frac{- 91 \cdot 12}{24 \cdot 65} = \frac{- 7 \cdot 1}{2 \cdot 5} = - \frac{7}{10}\]

\[Ответ: - 0,7.\]