Question

Решите уравнение
6 класс ​

Answer 1

а)

$\frac{5}{9} x = 1\frac{1}{3}$

$\frac{5}{9}x = \frac{4}{3}$

$\frac{5}{9}x = \frac{12}{9}$

$x = \frac{12}{9} :\frac{5}{9}$

$x = 2,4$

Ответ: x = 2,4

б)

$2\frac{1}{14} - 1\frac{2}{3}x = 1\frac{5}{21}$

$1\frac{2}{3}x = 2\frac{1}{14} - 1\frac{5}{21}$

$1\frac{2}{3}x = \frac{5}{6}$

$x = \frac{5}{6} : \frac{5}{3}$

$x = 0,5$

Ответ: x = 0,5

в)

$(\frac{8}{15} + \frac{2}{9}y):\frac{3}{5} = 2$

$\frac{8}{15} + \frac{2}{9}y = 2 * \frac{3}{5}$

$\frac{8}{15} + \frac{2}{9}y = 1\frac{1}{5}$

$\frac{2}{9}y = 1\frac{1}{5} - \frac{8}{15}$

$\frac{2}{9}y = \frac{2}{3}$

$y = \frac{2}{3} : \frac{2}{9}$

$y = 3$

Ответ: y = 3

г)

$\frac{2}{5}m + \frac{3}{10}m - \frac{2}{15}m = \frac{1}{6}$

$\frac{17}{30}m = \frac{1}{6}$

$m = \frac{1}{6} : \frac{17}{30}$

$m = \frac{5}{17}$

Ответ: $m = \frac{5}{17}$

д)

$z - \frac{8}{15}z = \frac{1}{3}$

$\frac{7}{15}z = \frac{1}{3}$

$z = \frac{1}{3} : \frac{7}{15}$

$z = \frac{5}{7}$

Ответ: $z = \frac{5}{7}$