Решебник по математике 6 класс Мерзляк ФГОС Задание 284

 

\[\boxed{\mathbf{284\ (285)}\mathbf{.}\mathbf{\ }Еуроки\ - \ ДЗ\ без\ мороки}\]

\[1)\ 0,5 + \frac{1}{3} = \frac{5}{10} + \frac{1}{3} =\]

\[= \frac{1^{\backslash 3}}{2} + \frac{1^{\backslash 2}}{3} = \frac{3 + 2}{6} = \frac{5}{6}\]

\[2)\ \frac{2}{3} - 0,25 = \frac{2}{3} - \frac{25}{100} =\]

\[= \frac{2^{\backslash 4}}{3} - \frac{1^{\backslash 3}}{4} = \frac{8 - 3}{12} = \frac{5}{12}\]

\[3)\ 0,125 + \frac{5}{12} = \frac{125}{1000} + \frac{5}{12} =\]

\[= \frac{1^{\backslash 3}}{8} + \frac{5^{\backslash 2}}{12} = \frac{3 + 10}{24} = \frac{13}{24}\]

\[4)\ 3,25 - 2\frac{9}{14} = 3\frac{25}{100} - 2\frac{9}{14} =\]

\[= 3\frac{1^{\backslash 7}}{4} - 2\frac{9^{\backslash 2}}{14} = 3\frac{7}{28} - 2\frac{18}{28} =\]

\[= 2\frac{35}{28} - 2\frac{18}{28} = \frac{17}{28}\]

\[\boxed{\mathbf{284\ (}\mathbf{с}\mathbf{)}\mathbf{.}\mathbf{\ }Еуроки\ - \ ДЗ\ без\ мороки}\]

\[1)\ 0,8 - \frac{5}{7} = \frac{8}{10} - \frac{5}{7} =\]

\[= \frac{4^{\backslash 7}}{5} - \frac{5^{\backslash 5}}{7} = \frac{28 - 25}{35} = \frac{3}{35}\]

\[2)\ 0,\ 36 + \frac{8}{15} = \frac{36}{100} + \frac{8}{15} =\]

\[= \frac{9^{\backslash 3}}{25} + \frac{8^{\backslash 5}}{15} = \frac{27 + 40}{75} = \frac{67}{75}\]

\[3)\ 7\frac{7}{8} - 3,18 = 7\frac{7}{8} - 3\frac{18}{100} =\]

\[= 7\frac{7^{\backslash 25}}{8} - 3\frac{9^{\backslash 4}}{50} =\]

\[= 7\frac{175}{200} - 3\frac{36}{200} = 4\frac{139}{200}\]

\[4)\ 4,75 - 2\frac{3}{16} = 4\frac{75}{100} - 2\frac{3}{16} =\]

\[= 4\frac{3^{\backslash 4}}{4} - 2\frac{3}{16} = 4\frac{12}{16} - 2\frac{3}{16} =\]

\[= 2\frac{9}{16}\]

\[\boxed{\mathbf{284}\mathbf{.}}\]

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