Question

$\frac{0.(3)}{x} = \frac{2}{0.(2)}$
Aflati x.​

Answer 1

Răspuns:

Explicație pas cu pas:

0,(3) = 3/9 = 1/3

0,(2) = 2/9

2x = 0,(3)*0,(2) = 1/3 *2/9 = 2/27

x = 2/27 : 2 = 2/27 *1/2 = 1/27

Answer 2

0,(3)/x = 2/0,(2)

Produsul extremilor = produsul mezilor, adica:

2x = 0,(3) × 0,(2) = 3/9 × 2/9 = 1/3 × 2/9 = 2/27

x = 2/27 : 2 = 2/27 × 1/2 = 1/27

R: x = 1/27 = 0,(037)