Решебник по математике 6 класс Ерина Никольский рабочая тетрадь Часть 1, 2 Часть 1 | Страница 41

\[\mathbf{Страница\ 41.}\]

\[\boxed{\mathbf{16.}}\]

\[\textbf{а)}\ \frac{3}{5} - \frac{7}{15} = \frac{9}{15} - \frac{7}{15} = \frac{2}{15}\]

\[\frac{2}{15}\ :\frac{2}{3} = \frac{2}{15} \cdot \frac{3}{2} = \frac{1}{5}\]

\[\frac{1}{5} \cdot \frac{7}{8} = \frac{7}{40}\]

\[\frac{7}{40} \cdot 5\frac{5}{7} = \frac{7}{40} \cdot \frac{40}{7} = 1\]

\[\textbf{б)}\ \frac{1}{6} + \frac{1}{4} = \frac{2}{12} + \frac{3}{12} = \frac{5}{12}\]

\[\frac{5}{12} + \frac{3}{8} = \frac{10}{24} + \frac{9}{24} = \frac{19}{24}\]

\[\frac{19}{24}\ :9\frac{1}{2} = \frac{19}{24}\ :\frac{19}{2} = \frac{19}{24} \cdot \frac{2}{19} = \frac{1}{12}\]

\[\frac{1}{12} \cdot 12 = 1\]

\[\textbf{в)}\ \frac{7}{9} - \frac{1}{3} = \frac{7}{9} - \frac{3}{9} = \frac{4}{9}\]

\[\frac{4}{9} + \frac{1}{6} = \frac{8}{18} + \frac{3}{18} = \frac{11}{18}\]

\[\frac{11}{18}\ :5\frac{1}{2} = \frac{11}{18}\ :\frac{11}{2} = \frac{11}{18} \cdot \frac{2}{11} = \frac{1}{9}\]

\[\frac{1}{9} \cdot 4\frac{1}{2} = \frac{1}{9} \cdot \frac{9}{2} = \frac{1}{2}\]

\[\textbf{г)}\ \frac{1}{5} + \frac{1}{3} = \frac{3}{15} + \frac{5}{15} = \frac{8}{15}\]

\[\frac{8}{15} - \frac{3}{10} = \frac{16}{30} - \frac{9}{30} = \frac{7}{30}\]

\[\frac{7}{30}\ :2\frac{1}{3} = \frac{7}{30}\ :\frac{7}{3} = \frac{7}{30} \cdot \frac{3}{7} = \frac{1}{10}\]

\[\frac{1}{10} \cdot 10 = 1\]

\[\boxed{\mathbf{1.}}\]

\[\textbf{а)}\ правее.\]

\[\textbf{б)}\ больше,\ меньше.\]

\[\textbf{в)}\ больше.\]

\[\textbf{г)}\ модуль\ меньше.\]

\[\boxed{\mathbf{2.}}\]

\[> - 2:\]

\[- 1;0;1;2;3.\]

\[< 0:\]

\[- 1;\ - 3;\ - 5;\ - 7;\ - 10.\]

\[< - 2:\]

\[- 3;\ - 4;\ - 15;\ - 20;\ - 5.\]

\[> 0:\]

\[1;2;3;12;100.\]

\[\boxed{\mathbf{3.}}\]

\[- 7 < - 6; - 5; - 4; - 3; - 2; - 1;\]

\[\text{\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ }0;1;2;3;4;5;6 < 7\]

\[0 < 1;2;3;4;5 < 6\]

\[- 8 < - 7;\ - 6;\ - 5;\ - 4;\ - 3;\ \]

\[\text{\ \ \ \ \ \ \ \ \ \ \ \ } - 2;\ - 1 < 0\]