Question

Ajutor, aflati necunoscuta din proportia:
a) 0,(3) 2
------ = ------
x 0,(2)

LAS SI IMAGINE,VA ROG AJUTOR​

Answer 1

$\frac{0.(3)}{x} = \frac{2}{0.(2)} \implies \: \frac{ \frac{3}{9} }{x} = \frac{2}{ \frac{2}{9} } \\ \\ \implies \: 2x = \frac{2}{9} \times \frac{3}{9} \implies \: 2x = \frac{6}{9} \\ \\ \implies \: x = \frac{ \frac{2}{3} }{2} = \frac{2}{3} \times \frac{1}{2} = \frac{1}{3} \\\\\iff x=\dfrac{1}{3}$