Решебник по математике 6 класс Ткачева ФГОС рабочая тетрадь | Страница 50

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\[\boxed{\mathbf{7.}}\]

\[\textbf{а)}\ 1 + \frac{1}{5} = 1\frac{1}{5}\]

\[\textbf{б)}\frac{7}{15} - 0,4 = \frac{7}{15} - \frac{2^{\backslash 3}}{5} =\]

\[= \frac{7}{15} - \frac{6}{15} = \frac{1}{15}\]

\[\textbf{в)}\ 0,75 + \frac{1}{4} = \frac{3}{4} + \frac{1}{4} = \frac{4}{4} = 1\]

\[\textbf{г)}\ 0,85 - \frac{5}{16} = \frac{17^{\backslash 4}}{20} - \frac{5^{\backslash 5}}{16} =\]

\[= \frac{68}{80} - \frac{25}{80} = \frac{43}{80}\]

\[\textbf{д)}\frac{1}{2} - 0,5 = \frac{1}{2} - \frac{1}{2} = 0\]

\[\textbf{е)}\frac{3}{4} - 0,125 = \frac{3^{\backslash 2}}{4} - \frac{1}{8} =\]

\[= \frac{6}{8} - \frac{1}{8} = \frac{5}{8}\]

\[\textbf{ж)}\ \frac{7}{36} + 0,25 = \frac{7}{36} + \frac{1^{\backslash 9}}{4} =\]

\[= \frac{7}{36} + \frac{9}{36} = \frac{16}{36} = \frac{4}{9}\]

\[\textbf{з)}\frac{1}{100} + 0,7 = \frac{1}{100} + \frac{7^{\backslash 10}}{10} =\]

\[= \frac{1}{100} + \frac{70}{100} = \frac{71}{100}\ \]

\[\boxed{\mathbf{8.}}\]

\[\textbf{а)}\ 4,17 + \frac{9}{20} = 4,17 + \frac{45}{100} =\]

\[= 4,17 + 0,45 = 4,62\]

\[\textbf{б)}\ \frac{3}{4} - 0,29 = 0,75 - 0,29 =\]

\[= 0,46\]

\[\textbf{в)}\ \frac{1}{4} + \frac{9}{50} = \frac{25}{100} + \frac{18}{100} =\]

\[= 0,25 + 0,18 = 0,43\]

\[\textbf{г)}\ \frac{3}{5} - \frac{1}{2} = 0,6 - 0,5 = 0,1\]

\[\textbf{д)}\ \frac{17}{20} - 0,27 = \frac{85}{100} - 0,27 =\]

\[= 0,85 - 0,27 = 0,53\]

\[\textbf{е)}\ \frac{1}{8} + 0,875 = \frac{125}{1000} + 0,875 =\]

\[= 0,125 + 0,875 = 1\]

\[\textbf{ж)}\ \frac{1}{5} - 0,09 = 0,2 - 0,09 = 0,11\]

\[\textbf{з)}\ \frac{7}{25} + 2,15 = \frac{28}{100} + 2,15 =\]

\[= 0,28 + 2,15 = 2,43\]

\[\boxed{\mathbf{9.}}\]

\[\textbf{а)}\ x = \frac{17^{\backslash 4}}{20} - \frac{3^{\backslash 5}}{16}\]

\[x = \frac{68}{80} - \frac{15}{80} = \frac{53}{80}\]

\[Ответ:\frac{53}{80}\text{.\ }\]

\[\textbf{б)}\ y = \frac{7^{\backslash 5}}{12} - \frac{8^{\backslash 4}}{15}\]

\[y = \frac{35}{60} - \frac{32}{60} = \frac{3}{60}\]

\[y = \frac{1}{20}\]

\[Ответ:\frac{1}{20}.\]

\[\textbf{в)}\ a = \frac{7^{\backslash 2}}{30} + \frac{1^{\backslash 5}}{12}\]

\[a = \frac{14}{60} + \frac{5}{60} = \frac{19}{60}\]

\[Ответ:\ \frac{19}{60}.\]

\[\textbf{г)}\ b = \frac{25^{\backslash 2}}{39} - \frac{15^{\backslash 3}}{26}\]

\[b = \frac{50}{78} - \frac{45}{78} = \frac{5}{78}\]

\[Ответ:\frac{5}{78}.\]