ГДЗ по математике 5 класс Мерзляк ФГОС Задание 1070

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\[1)\ 15 \cdot \left( 1 + \frac{1}{3} - \frac{1}{5} \right) =\]

\[= 15 \cdot 1 + 15 \cdot \frac{1}{3} - 15 \cdot \frac{1}{5} =\]

\[= 15 + 5 - 3 = 17\]

\[2)\ 48 \cdot \left( \frac{19}{24} - \frac{7}{12} + \frac{3}{8} \right) =\]

\[= 48 \cdot \frac{19}{24} - 48 \cdot \frac{7}{12} + 48 \cdot \frac{3}{8} =\]

\[= 2 \cdot 19 - 4 \cdot 7 + 6 \cdot 3 =\]

\[= 38 - 28 + 18 = 28\]

\[3)\ \frac{7}{9} \cdot \left( \frac{6}{7} - \frac{9}{14} \right) = \frac{7}{9} \cdot \frac{6}{7} - \frac{7}{9} \cdot \frac{9}{14} =\]

\[= \frac{4 - 3}{6} = \frac{1}{6}\]

\[4)\ \left( \frac{15}{16} - \frac{5}{12} + 2\frac{1}{2} \right) \cdot \frac{4}{5} =\]

\[= \frac{15}{16} \cdot \frac{4}{5} - \frac{5}{12} \cdot \frac{4}{5} + \frac{5}{2} \cdot \frac{4}{5} =\]

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

\[= \frac{9 - 4 + 24}{12} = \frac{29}{12} = 2\frac{5}{12}\]