Question

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

Answer 1

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

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

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

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

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

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

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

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

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

$x = frac{57}{20}$

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