Решебник по математике 5 класс Мерзляк ФГОС Задание 1026

 

\[\boxed{\mathbf{1026\ (1026)}.\ Еуроки\ - \ ДЗ\ без\ мороки}\]

\[1)\ 0,35 + 0,1 = 0,45\ (книги) -\]

\[прочитал\ мальчик.\]

\[2)\ 0,5 - 0,45 = 0,05\ (книги) -\]

\[осталось\ от\ половины.\]

\[3)\ 15\ :0,05 = 1500\ :5 =\]

\[= 300\ (страниц) - в\ книге\ \]

\[всего.\]

\[Ответ:\ \ 300\ страниц.\]

\[\boxed{\mathbf{1026}\mathbf{.}\mathbf{\ }}\]

\[1)\ \frac{3}{7} + \frac{14}{19} + \frac{4}{7} + \frac{5}{19} =\]

\[= \left( \frac{3}{7} + \frac{4}{7} \right) + \left( \frac{14}{19} + \frac{5}{19} \right) =\]

\[= \frac{7}{7} + \frac{19}{19} = 1 + 1 = 2\]

\[2)\ \frac{7}{16} + \frac{11}{42} + \frac{9}{16} + \frac{17}{42} =\]

\[= \left( \frac{7}{16} + \frac{9}{16} \right) + \left( \frac{11}{42} + \frac{17}{42} \right) =\]

\[= \frac{16}{16} + \frac{28}{42} = 1 + \frac{2}{3} = 1\frac{2}{3}\]

\[3)\ \frac{5}{18} + \frac{4}{81} + \frac{7}{18} + \frac{5}{81} =\]

\[= \left( \frac{5}{18} + \frac{7}{18} \right) + \left( \frac{4}{81} + \frac{5}{81} \right) =\]

\[= \frac{12}{18} + \frac{9}{81} = \frac{2^{\backslash 3}}{3} + \frac{1}{9} = \frac{6}{9} + \frac{1}{9} =\]

\[= \frac{7}{9}\]

\[4)\ \frac{9}{40} + \frac{13}{50} + \frac{12}{50} + \frac{11}{40} =\]

\[= \frac{20}{40} + \frac{25}{50} =\]

\[= \left( \frac{9}{40} + \frac{11}{40} \right) + \left( \frac{13}{50} + \frac{12}{50} \right) =\]

\[= \frac{20}{40} + \frac{25}{50} = \frac{1}{2} + \frac{1}{2} = \frac{2}{2} = 1\]

\[5)\ 3\frac{5}{11} + 1\frac{3}{16} + 2\frac{5}{16} + 4\frac{6}{11} =\]

\[= \left( 3\frac{5}{11} + 4\frac{6}{11} \right) + \left( 1\frac{3}{16} + 2\frac{5}{16} \right) =\]

\[= 7\frac{11}{11} + 3\frac{8}{16} = 8 + 3\frac{1}{2} = 11\frac{1}{2}\]

\[6)\ 1\frac{17}{24} + 3\frac{1}{36} + 5\frac{4}{24} + 2\frac{8}{36} =\]

\[= \left( 1\frac{17}{24} + 5\frac{4}{24} \right) + \left( 3\frac{1}{36} + 2\frac{8}{36} \right) =\]

\[= 6\frac{21}{24} + 5\frac{9}{36} = 6\frac{7}{8} + 5\frac{1^{\backslash 2}}{4} =\]

\[= 6\frac{7}{8} + 5\frac{2}{8} = 11\frac{9}{8} = 12\frac{1}{8}\]