Решебник по математике 6 класс Мерзляк ФГОС Задание 451

 

\[\boxed{\mathbf{451\ (451).}\mathbf{\ }Еуроки\ - \ ДЗ\ без\ мороки}\]

\[1)\ 12\ :3\frac{3}{8} - 1\frac{1}{4}\ :\frac{15}{32} =\]

\[= 12\ :\frac{27}{8} - \frac{5}{4}\ :\frac{15}{32} =\]

\[= \frac{12 \cdot 8}{1 \cdot 27} - \frac{5 \cdot 32}{4 \cdot 15} =\]

\[= \frac{32}{9} - \frac{8^{\backslash 3}}{3} = \frac{32 - 24}{9} = \frac{8}{9}\]

\[2)\ 1\frac{31}{35}\ :\left( 2 - \frac{8}{9}\ :1\frac{19}{45} \right) =\]

\[= \frac{66}{35}\ :\left( 2 - \frac{8}{9}\ :\frac{64}{45} \right) =\]

\[= \frac{66}{35}\ :\left( 2 - \frac{8 \cdot 45}{9 \cdot 64} \right) =\]

\[= \frac{66}{35}\ :\left( \frac{16}{8} - \frac{5}{8} \right) = \frac{66}{35}\ :\frac{11}{8} =\]

\[= \frac{66}{35} \cdot \frac{8}{11} = \frac{66 \cdot 8}{35 \cdot 11} = \frac{48}{35} = 1\frac{13}{35}\]

\[3)\ \left( 1\frac{1}{35}\ :\frac{4}{5} - 1\frac{8}{35} \right) \cdot 3\frac{1}{3} =\]

\[= \left( \frac{36}{35}\ :\frac{4}{5} - 1\frac{8}{35} \right) \cdot 3\frac{1}{3} =\]

\[= \left( \frac{36 \cdot 5}{35 \cdot 4} - \frac{43}{35} \right) \cdot \frac{10}{3} =\]

\[= \frac{9}{7} \cdot \frac{10}{3} - \frac{43}{35} \cdot \frac{10}{3} =\]

\[= \frac{9 \cdot 10}{7 \cdot 3} - \frac{43 \cdot 10}{35 \cdot 3} = \frac{30^{\backslash 3}}{7} - \frac{86}{21} =\]

\[= \frac{90 - 86}{21} = \frac{4}{21}\]

\[4)\ \left( 7 - 1\frac{5}{9}\ :\frac{7}{24} \right)\ :\frac{20}{27} =\]

\[= \left( 7 - \frac{14}{9}\ :\frac{7}{24} \right) \cdot \frac{27}{20} =\]

\[= \left( 7 - \frac{14 \cdot 24}{9 \cdot 7} \right) \cdot \frac{27}{20} =\]

\[= 7 \cdot \frac{27}{20} - \frac{16}{3} \cdot \frac{27}{20} =\]

\[= \frac{7 \cdot 27}{20} - \frac{16 \cdot 27}{3 \cdot 20} =\]

\[= \frac{189}{20} - \frac{144}{20} = \frac{45}{20} = 2\frac{5}{20} = 2\frac{1}{4}\]

\[\boxed{\mathbf{451}.}\]

\[1)\ (46 - 34,17) \cdot 0,09 =\]

\[= 11,83 \cdot 0,09 = 1,0647\]

\[2)\ (8,38 + 5,12) \cdot (8,4 - 3,24) =\]

\[= 13,5 \cdot 5,16 = 69,66\]