Question

Решите уравнение: x-1 3/5=3 2/7: 2 22/35

Answer 1

$x - 1 \frac{3}{5} = 3 \frac{2}{7} : 2 \frac{22}{35}$

$x - \frac{8}{5} = \frac{23}{7} : \frac{92}{35}$

$x - \frac{8}{5} = \frac{23}{7} * \frac{35}{92}$

$x - \frac{8}{5} = \frac{23*35}{7*92}$

$x - \frac{8}{5} = \frac{805}{644}$

$x - \frac{8}{5} = \frac{5*161}{4*161} = \frac{5}{4}$

$x = \frac{5}{4} + \frac{8}{5}$

$x = \frac{5*5}{4*5} + \frac{8*4}{5*4}$

$x = \frac{25}{20} + \frac{32}{20}$

$x = \frac{57}{20}$

$x = \frac{20*2+17}{20} = 2 \frac{17}{20}$