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
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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
