Question

cat este x dacă 0,(15)/x=25/10​

Answer 1

o,(15) = 15/99 = 5/33

(5/33)/x = 25/10

(5/33)/x = 5/2

5/33 × 2 = 5x

10/33 = 5x

10 = 165x

x = 10/165

x = 2/33

Answer 2

Răspuns:   x = 2/33

Explicație pas cu pas:

0,(15)/x = 25/10

0,(15) = 15/99 = (15:3)/(99:3) = 5/33

25/10 = (25:5)/(10:5) = 5/2

___________________________

0,(15)/x = 5/2

5 x = 2 × 5/33

x = (10/33) : 5

x = (10/33) × 1/5

x = 2/33

Verific:

(5/33) /x = (5/33) : (2/33) = (5/33) × 33/2 = 5/2